:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102121:0.218212:0.157756:0.218212:0.157756:0.202634:0.102121:0.202634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para que :@0.157756:0.218212:0.219254:0.218212:0.219254:0.203313:0.157756:0.203313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim( ):@0.222590:0.218153:0.271839:0.218153:0.271839:0.203403:0.222590:0.203403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.221602:0.224059:0.225494:0.224059:0.225494:0.215525:0.221602:0.215525:0.000000
fx:@0.246620:0.218153:0.265825:0.218153:0.265825:0.203428:0.246620:0.203428:0.000000:0.000000
→−:@0.226642:0.223843:0.241906:0.223843:0.241906:0.215006:0.226642:0.215006:0.000000:0.000000
1:@0.241858:0.224059:0.246548:0.224059:0.246548:0.215511:0.241858:0.215511:0.000000
 exista, deben :@0.272438:0.218212:0.367793:0.218212:0.367793:0.203313:0.272438:0.203313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
existir los límites laterales y estos deben ser  los límites laterales y estos deben ser iguales.:@0.102117:0.239586:0.701206:0.239764:0.701206:0.224865:0.102117:0.224687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales.:@0.102117:0.254674:0.151888:0.254674:0.151888:0.239775:0.102117:0.239775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim( ):@0.109094:0.276484:0.160972:0.276484:0.160972:0.261734:0.109094:0.261734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim ():@0.180144:0.276484:0.232121:0.276484:0.232121:0.261734:0.180144:0.261734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim:@0.109094:0.302758:0.129651:0.302758:0.129651:0.288008:0.109094:0.288008:0.000000:0.000000:0.000000
lim:@0.205775:0.302758:0.226337:0.302758:0.226337:0.288008:0.205775:0.288008:0.000000:0.000000:0.000000
x:@0.105419:0.283132:0.109312:0.283132:0.109312:0.274598:0.105419:0.274598:0.000000
x:@0.176421:0.283132:0.180314:0.283132:0.180314:0.274598:0.176421:0.274598:0.000000
x:@0.105419:0.309406:0.109312:0.309406:0.109312:0.300872:0.105419:0.300872:0.000000
x:@0.202055:0.309406:0.205948:0.309406:0.205948:0.300872:0.202055:0.300872:0.000000
fx:@0.135762:0.276484:0.154968:0.276484:0.154968:0.261759:0.135762:0.261759:0.000000:0.000000
fx:@0.206911:0.276484:0.226117:0.276484:0.226117:0.261759:0.206911:0.261759:0.000000:0.000000
ax:@0.142358:0.302758:0.157367:0.302758:0.157367:0.288033:0.142358:0.288033:0.000000:0.000000
x:@0.240126:0.302758:0.246842:0.302758:0.246842:0.288033:0.240126:0.288033:0.000000
a:@0.114230:0.326383:0.122572:0.326383:0.122572:0.311658:0.114230:0.311658:0.000000
→−:@0.110461:0.282916:0.125724:0.282916:0.125724:0.274079:0.110461:0.274079:0.000000:0.000000
→−:@0.181462:0.282916:0.196726:0.282916:0.196726:0.274079:0.181462:0.274079:0.000000:0.000000
→−:@0.110461:0.309188:0.125724:0.309188:0.125724:0.300351:0.110461:0.300351:0.000000:0.000000
→−:@0.207097:0.309188:0.222360:0.309188:0.222360:0.300351:0.207097:0.300351:0.000000:0.000000
−:@0.129024:0.279255:0.132827:0.279255:0.132827:0.272887:0.129024:0.272887:0.000000
+:@0.200031:0.279255:0.203833:0.279255:0.203833:0.272887:0.200031:0.272887:0.000000
−:@0.129024:0.305529:0.132827:0.305529:0.132827:0.299161:0.129024:0.299161:0.000000
+:@0.225657:0.305529:0.229460:0.305529:0.229460:0.299161:0.225657:0.299161:0.000000
=:@0.163655:0.276111:0.172760:0.276111:0.172760:0.260863:0.163655:0.260863:0.000000
+:@0.161063:0.302385:0.170169:0.302385:0.170169:0.287137:0.161063:0.287137:0.000000
(:@0.135762:0.303959:0.141285:0.303959:0.141285:0.284473:0.135762:0.284473:0.000000
):@0.180906:0.303959:0.186429:0.303959:0.186429:0.284473:0.180906:0.284473:0.000000
=:@0.189286:0.302385:0.198391:0.302385:0.198391:0.287137:0.189286:0.287137:0.000000
+:@0.257185:0.302385:0.266290:0.302385:0.266290:0.287137:0.257185:0.287137:0.000000
(:@0.232539:0.305433:0.238062:0.305433:0.238062:0.281479:0.232539:0.281479:0.000000
):@0.273902:0.305433:0.279425:0.305433:0.279425:0.281479:0.273902:0.281479:0.000000
−+ ==+:@0.104901:0.326006:0.174705:0.326006:0.174705:0.310758:0.104901:0.310758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.125679:0.283132:0.130369:0.283132:0.130369:0.274584:0.125679:0.274584:0.000000
1:@0.196681:0.283132:0.201371:0.283132:0.201371:0.274584:0.196681:0.274584:0.000000
1:@0.125679:0.309406:0.130369:0.309406:0.130369:0.300858:0.125679:0.300858:0.000000
1:@0.222315:0.309406:0.227005:0.309406:0.227005:0.300858:0.222315:0.300858:0.000000
2:@0.248275:0.295862:0.252965:0.295862:0.252965:0.287314:0.248275:0.287314:0.000000
5:@0.172512:0.302758:0.180605:0.302758:0.180605:0.288008:0.172512:0.288008:0.000000
1:@0.267593:0.302758:0.275686:0.302758:0.275686:0.288008:0.267593:0.288008:0.000000
5 11;   :@0.136610:0.326379:0.197510:0.326379:0.197510:0.311629:0.136610:0.311629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.208986:0.326006:0.218091:0.326006:0.218091:0.310758:0.208986:0.310758:0.000000
3:@0.220712:0.326379:0.228805:0.326379:0.228805:0.311629:0.220712:0.311629:0.000000
a:@0.197493:0.326379:0.205835:0.326379:0.205835:0.311654:0.197493:0.311654:0.000000
Paso 2. :@0.403601:0.218389:0.459236:0.218389:0.459236:0.202811:0.403601:0.202811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para que :@0.459236:0.218389:0.520734:0.218389:0.520734:0.203490:0.459236:0.203490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim( ):@0.522947:0.218153:0.570123:0.218153:0.570123:0.203403:0.522947:0.203403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.524031:0.224059:0.527924:0.224059:0.527924:0.215525:0.524031:0.215525:0.000000
fx:@0.544903:0.218153:0.564108:0.218153:0.564108:0.203428:0.544903:0.203428:0.000000:0.000000
→:@0.529072:0.223843:0.538558:0.223843:0.538558:0.215006:0.529072:0.215006:0.000000
2:@0.538780:0.224059:0.543470:0.224059:0.543470:0.215511:0.538780:0.215511:0.000000
 exista, deben existir :@0.570594:0.218389:0.708299:0.218389:0.708299:0.203490:0.570594:0.203490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim( ):@0.408501:0.261258:0.458306:0.261258:0.458306:0.246508:0.408501:0.246508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim ():@0.475405:0.261258:0.525309:0.261258:0.525309:0.246508:0.475405:0.246508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim:@0.408501:0.287532:0.429050:0.287532:0.429050:0.272782:0.408501:0.272782:0.000000:0.000000:0.000000
lim:@0.497264:0.287532:0.517829:0.287532:0.517829:0.272782:0.497264:0.272782:0.000000:0.000000:0.000000
x:@0.406900:0.267906:0.410793:0.267906:0.410793:0.259372:0.406900:0.259372:0.000000
x:@0.473759:0.267906:0.477651:0.267906:0.477651:0.259372:0.473759:0.259372:0.000000
x:@0.406900:0.294180:0.410793:0.294180:0.410793:0.285646:0.406900:0.285646:0.000000
x:@0.495616:0.294180:0.499508:0.294180:0.499508:0.285646:0.495616:0.285646:0.000000
fx:@0.433096:0.261258:0.452301:0.261258:0.452301:0.246533:0.433096:0.246533:0.000000:0.000000
fx:@0.500098:0.261258:0.519304:0.261258:0.519304:0.246533:0.500098:0.246533:0.000000:0.000000
x:@0.440691:0.287535:0.447408:0.287535:0.447408:0.272809:0.440691:0.272809:0.000000
bx:@0.528326:0.287535:0.543327:0.287532:0.543327:0.272807:0.528326:0.272809:0.000000:0.000000
b:@0.455096:0.319036:0.463438:0.319036:0.463438:0.304311:0.455096:0.304311:0.000000
→:@0.411941:0.267690:0.421427:0.267690:0.421427:0.258853:0.411941:0.258853:0.000000
→:@0.478799:0.267690:0.488286:0.267690:0.488286:0.258853:0.478799:0.258853:0.000000
→:@0.411941:0.293964:0.421427:0.293964:0.421427:0.285127:0.411941:0.285127:0.000000
→:@0.500656:0.293964:0.510143:0.293964:0.510143:0.285127:0.500656:0.285127:0.000000
−:@0.426358:0.264029:0.430160:0.264029:0.430160:0.257661:0.426358:0.257661:0.000000
+:@0.493216:0.264029:0.497018:0.264029:0.497018:0.257661:0.493216:0.257661:0.000000
−:@0.426358:0.290303:0.430160:0.290303:0.430160:0.283935:0.426358:0.283935:0.000000
+:@0.515081:0.290303:0.518884:0.290303:0.518884:0.283935:0.515081:0.283935:0.000000
=:@0.460988:0.260885:0.470093:0.260885:0.470093:0.245637:0.460988:0.245637:0.000000
+ =:@0.457737:0.287159:0.491955:0.287159:0.491955:0.271911:0.457737:0.271911:0.000000:0.000000:0.000000
(:@0.433096:0.290207:0.438618:0.290207:0.438618:0.266253:0.433096:0.266253:0.000000
):@0.474458:0.290207:0.479981:0.290207:0.479981:0.266253:0.474458:0.266253:0.000000
+:@0.547017:0.287159:0.556122:0.287159:0.556122:0.271911:0.547017:0.271911:0.000000
(:@0.521957:0.288734:0.527480:0.288734:0.527480:0.269247:0.521957:0.269247:0.000000
):@0.567847:0.288734:0.573370:0.288734:0.573370:0.269247:0.567847:0.269247:0.000000
+=:@0.417028:0.318665:0.444941:0.318665:0.444941:0.303418:0.417028:0.303418:0.000000:0.000000
+:@0.466037:0.318665:0.475142:0.318665:0.475142:0.303418:0.466037:0.303418:0.000000
2:@0.421647:0.267906:0.426337:0.267906:0.426337:0.259358:0.421647:0.259358:0.000000
2:@0.488506:0.267906:0.493196:0.267906:0.493196:0.259358:0.488506:0.259358:0.000000
2:@0.421647:0.294179:0.426337:0.294179:0.426337:0.285630:0.421647:0.285630:0.000000
2:@0.448829:0.280639:0.453519:0.280639:0.453519:0.272090:0.448829:0.272090:0.000000
2:@0.510363:0.294179:0.515053:0.294179:0.515053:0.285630:0.510363:0.285630:0.000000
1:@0.468150:0.287532:0.476243:0.287532:0.476243:0.272782:0.468150:0.272782:0.000000
6:@0.558703:0.287532:0.566797:0.287532:0.566797:0.272782:0.558703:0.272782:0.000000
41 2:@0.406380:0.319039:0.455654:0.319039:0.455654:0.304289:0.406380:0.304289:0.000000:0.000000:0.000000:0.000000
6;;   :@0.477712:0.319039:0.502027:0.319039:0.502027:0.304289:0.477712:0.304289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.502027:0.319039:0.510369:0.319039:0.510369:0.304314:0.502027:0.304314:0.000000
=:@0.513521:0.318665:0.522626:0.318665:0.522626:0.303418:0.513521:0.303418:0.000000
−:@0.527087:0.310774:0.536192:0.310774:0.536192:0.295526:0.527087:0.295526:0.000000
1:@0.536126:0.311147:0.544219:0.311147:0.544219:0.296397:0.536126:0.296397:0.000000
2:@0.530202:0.328799:0.538296:0.328799:0.538296:0.314049:0.530202:0.314049:0.000000
Paso 1.:@0.102121:0.559884:0.154372:0.559884:0.154372:0.544306:0.102121:0.544306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluamos el límite.:@0.157756:0.559884:0.288842:0.559884:0.288842:0.544985:0.157756:0.544985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lim:@0.104057:0.587431:0.132957:0.587431:0.132957:0.572681:0.104057:0.572681:0.000000:0.000000:0.000000:0.000000
( 5:@0.138032:0.579540:0.160397:0.579545:0.160397:0.564795:0.138032:0.564790:0.000000:0.000000:0.000000
):@0.160123:0.579540:0.164518:0.579540:0.164518:0.564790:0.160123:0.564790:0.000000
( 5:@0.145236:0.597190:0.167606:0.597190:0.167606:0.582440:0.145236:0.582440:0.000000:0.000000:0.000000
) 5:@0.167327:0.597190:0.193378:0.597190:0.193378:0.582440:0.167327:0.582440:0.000000:0.000000:0.000000
detmin:@0.254447:0.587432:0.318133:0.587432:0.318133:0.572682:0.254447:0.572682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.110794:0.593336:0.114687:0.593336:0.114687:0.584802:0.110794:0.584802:0.000000
in:@0.241542:0.587431:0.253450:0.587431:0.253450:0.572706:0.241542:0.572706:0.000000:0.000000
er:@0.278476:0.587431:0.290202:0.587431:0.290202:0.572706:0.278476:0.572706:0.000000:0.000000
ado:@0.319043:0.587431:0.343920:0.587431:0.343920:0.572706:0.319043:0.572706:0.000000:0.000000:0.000000
→−:@0.115836:0.593119:0.131099:0.593119:0.131099:0.584283:0.115836:0.584283:0.000000:0.000000
−:@0.143257:0.579172:0.152362:0.579172:0.152362:0.563924:0.143257:0.563924:0.000000
−:@0.173276:0.579172:0.182381:0.579172:0.182381:0.563924:0.173276:0.563924:0.000000
−+:@0.150472:0.596822:0.182945:0.596822:0.182945:0.581574:0.150472:0.581574:0.000000:0.000000
==:@0.204226:0.587058:0.238922:0.587058:0.238922:0.571810:0.204226:0.571810:0.000000:0.000000
5:@0.131055:0.593336:0.135745:0.593336:0.135745:0.584788:0.131055:0.584788:0.000000
2:@0.164369:0.572647:0.169059:0.572647:0.169059:0.564099:0.164369:0.564099:0.000000
25:@0.184445:0.579545:0.200532:0.579545:0.200532:0.564795:0.184445:0.564795:0.000000:0.000000
0:@0.217276:0.579545:0.225369:0.579545:0.225369:0.564795:0.217276:0.564795:0.000000
0:@0.217276:0.597190:0.225369:0.597190:0.225369:0.582440:0.217276:0.582440:0.000000
 indeterminado:@0.241669:0.587320:0.345147:0.587320:0.345147:0.572421:0.241669:0.572421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2. :@0.102122:0.616666:0.157756:0.616666:0.157756:0.601088:0.102122:0.601088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizamos el numerador y :@0.157756:0.616666:0.354679:0.616666:0.354679:0.601767:0.157756:0.601767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simpli camos.:@0.102122:0.631754:0.196686:0.631754:0.196686:0.616854:0.102122:0.616854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lim:@0.105137:0.664567:0.134044:0.664567:0.134044:0.649817:0.105137:0.649817:0.000000:0.000000:0.000000:0.000000
lim:@0.107027:0.693419:0.127576:0.693419:0.127576:0.678669:0.107027:0.678669:0.000000:0.000000:0.000000
x:@0.111874:0.670473:0.115767:0.670473:0.115767:0.661939:0.111874:0.661939:0.000000
x:@0.105415:0.699328:0.109308:0.699328:0.109308:0.690794:0.105415:0.690794:0.000000
x:@0.147023:0.653534:0.153740:0.653534:0.153740:0.638809:0.147023:0.638809:0.000000
x:@0.194141:0.653534:0.200858:0.653534:0.200858:0.638809:0.194141:0.638809:0.000000
x:@0.171947:0.674575:0.178664:0.674575:0.178664:0.659850:0.171947:0.659850:0.000000
x:@0.139242:0.693420:0.145959:0.693420:0.145959:0.678695:0.139242:0.678695:0.000000
→−:@0.116916:0.670256:0.132179:0.670256:0.132179:0.661419:0.116916:0.661419:0.000000:0.000000
→−:@0.110457:0.699111:0.125720:0.699111:0.125720:0.690274:0.110457:0.690274:0.000000:0.000000
−:@0.157435:0.653160:0.166540:0.653160:0.166540:0.637912:0.157435:0.637912:0.000000
(:@0.139391:0.654735:0.144914:0.654735:0.144914:0.635248:0.139391:0.635248:0.000000
) (:@0.176989:0.654735:0.192030:0.654735:0.192030:0.635248:0.176989:0.635248:0.000000:0.000000:0.000000
+:@0.204551:0.653160:0.213656:0.653160:0.213656:0.637912:0.204551:0.637912:0.000000
):@0.224387:0.654735:0.229910:0.654735:0.229910:0.635248:0.224387:0.635248:0.000000
+:@0.182361:0.674201:0.191466:0.674201:0.191466:0.658953:0.182361:0.658953:0.000000
−:@0.149655:0.693046:0.158760:0.693046:0.158760:0.677799:0.149655:0.677799:0.000000
(:@0.131616:0.694623:0.137139:0.694623:0.137139:0.675136:0.131616:0.675136:0.000000
):@0.169214:0.694623:0.174737:0.694623:0.174737:0.675136:0.169214:0.675136:0.000000
=−:@0.177601:0.693048:0.198963:0.693048:0.198963:0.677800:0.177601:0.677800:0.000000:0.000000
5:@0.132134:0.670473:0.136824:0.670473:0.136824:0.661924:0.132134:0.661924:0.000000
5:@0.125675:0.699328:0.130365:0.699328:0.130365:0.690779:0.125675:0.690779:0.000000
5:@0.168602:0.653534:0.176695:0.653534:0.176695:0.638784:0.168602:0.638784:0.000000
5:@0.216002:0.653534:0.224095:0.653534:0.224095:0.638784:0.216002:0.638784:0.000000
5:@0.193809:0.674575:0.201903:0.674575:0.201903:0.659825:0.193809:0.659825:0.000000
5:@0.160827:0.693422:0.168921:0.693422:0.168921:0.678672:0.160827:0.678672:0.000000
10:@0.198906:0.693422:0.215001:0.693422:0.215001:0.678672:0.198906:0.678672:0.000000:0.000000
Paso 1.:@0.403601:0.559884:0.455852:0.559884:0.455852:0.544306:0.403601:0.544306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluamos el límite.:@0.459236:0.559884:0.590322:0.559884:0.590322:0.544985:0.459236:0.544985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lim:@0.404241:0.586300:0.430457:0.586300:0.430457:0.571550:0.404241:0.571550:0.000000:0.000000:0.000000:0.000000
detmin:@0.540879:0.586300:0.604565:0.586300:0.604565:0.571550:0.540879:0.571550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.410979:0.592204:0.414872:0.592204:0.414872:0.583670:0.410979:0.583670:0.000000
in:@0.527969:0.586300:0.539877:0.586300:0.539877:0.571574:0.527969:0.571574:0.000000:0.000000
er:@0.564904:0.586300:0.576629:0.586300:0.576629:0.571574:0.564904:0.571574:0.000000:0.000000
ado:@0.605470:0.586300:0.630348:0.586300:0.630348:0.571574:0.605470:0.571574:0.000000:0.000000:0.000000
→:@0.416021:0.591988:0.425508:0.591988:0.425508:0.583151:0.416021:0.583151:0.000000
−+:@0.444338:0.578040:0.475252:0.578040:0.475252:0.562792:0.444338:0.562792:0.000000:0.000000
−:@0.455367:0.595691:0.464472:0.595691:0.464472:0.580443:0.455367:0.580443:0.000000
==:@0.490660:0.585932:0.525355:0.585932:0.525355:0.570684:0.490660:0.570684:0.000000:0.000000
2:@0.425726:0.592204:0.430417:0.592204:0.430417:0.583656:0.425726:0.583656:0.000000
48 4:@0.433690:0.578414:0.486215:0.578414:0.486215:0.563664:0.433690:0.563664:0.000000:0.000000:0.000000:0.000000
22:@0.445233:0.596059:0.474621:0.596059:0.474621:0.581309:0.445233:0.581309:0.000000:0.000000
0:@0.503704:0.578414:0.511797:0.578414:0.511797:0.563664:0.503704:0.563664:0.000000
0:@0.503704:0.596059:0.511797:0.596059:0.511797:0.581309:0.503704:0.581309:0.000000
 indeterminado:@0.527068:0.586305:0.630546:0.586305:0.630546:0.571406:0.527068:0.571406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.403603:0.615650:0.455854:0.615650:0.455854:0.600072:0.403603:0.600072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Factorizamos el numerador:@0.459238:0.615650:0.641452:0.615650:0.641452:0.600751:0.459238:0.600751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y simplicamos.:@0.403603:0.630738:0.509208:0.630738:0.509208:0.615839:0.403603:0.615839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.458465:0.630738:0.462134:0.630738:0.462134:0.615839:0.458465:0.615839:0.000000
lim:@0.414795:0.663832:0.435361:0.663832:0.435361:0.649082:0.414795:0.649082:0.000000:0.000000:0.000000
lim(:@0.518783:0.663832:0.543329:0.663832:0.543329:0.649082:0.518783:0.649082:0.000000:0.000000:0.000000:0.000000
) 2:@0.574558:0.663832:0.574602:0.663831:0.574602:0.649081:0.574558:0.649082:0.000000:0.000000:0.000000
x:@0.415889:0.669737:0.419782:0.669737:0.419782:0.661203:0.415889:0.661203:0.000000
x:@0.519878:0.669737:0.523771:0.669737:0.523771:0.661203:0.519878:0.661203:0.000000
x:@0.453530:0.654894:0.460247:0.654894:0.460247:0.640169:0.453530:0.640169:0.000000
x:@0.453198:0.673839:0.459915:0.673839:0.459915:0.659114:0.453198:0.659114:0.000000
x:@0.544946:0.663831:0.551663:0.663831:0.551663:0.649106:0.544946:0.649106:0.000000
→:@0.420932:0.669521:0.326430:0.669521:0.326430:0.660684:0.420932:0.660684:0.000000
→:@0.524920:0.669521:0.430418:0.669521:0.430418:0.660684:0.524920:0.660684:0.000000
−:@0.463943:0.654521:0.473048:0.654521:0.473048:0.639273:0.463943:0.639273:0.000000
(:@0.445898:0.656087:0.413590:0.656087:0.413590:0.636600:0.445898:0.636600:0.000000
):@0.483728:0.656087:0.451420:0.656087:0.451420:0.636600:0.483728:0.636600:0.000000
−:@0.463618:0.673466:0.472723:0.673466:0.472723:0.658218:0.463618:0.658218:0.000000
=:@0.503770:0.663458:0.512875:0.663458:0.512875:0.648210:0.503770:0.648210:0.000000
−:@0.555164:0.663458:0.564269:0.663458:0.564269:0.648210:0.555164:0.648210:0.000000
=−=:@0.408905:0.691116:0.461728:0.691116:0.461728:0.675868:0.408905:0.675868:0.000000:0.000000:0.000000
2:@0.430638:0.669737:0.435328:0.669737:0.435328:0.661189:0.430638:0.661189:0.000000
2:@0.490211:0.647988:0.494902:0.647988:0.494902:0.639439:0.490211:0.639439:0.000000
2:@0.534627:0.669737:0.539317:0.669737:0.539317:0.661189:0.534627:0.661189:0.000000
2:@0.475109:0.654894:0.483202:0.654894:0.483202:0.640144:0.475109:0.640144:0.000000
2:@0.474777:0.673839:0.482871:0.673839:0.482871:0.659089:0.474777:0.659089:0.000000
22 0:@0.420644:0.691489:0.472455:0.691489:0.472455:0.676739:0.420644:0.676739:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.121932:0.110585:0.121932:0.110585:0.105031:0.096359:0.105031:0.000000:0.000000
  En la función:  ():@0.110585:0.121932:0.257681:0.122318:0.257681:0.105929:0.110585:0.105543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.229646:0.122319:0.250985:0.122319:0.250985:0.105958:0.229646:0.105958:0.000000:0.000000
ax:@0.283577:0.099725:0.300254:0.099725:0.300254:0.083364:0.283577:0.083364:0.000000:0.000000
x:@0.349861:0.099725:0.357324:0.099725:0.357324:0.083364:0.349861:0.083364:0.000000
x:@0.284738:0.122324:0.292201:0.122324:0.292201:0.105963:0.284738:0.105963:0.000000
x:@0.392005:0.122324:0.399468:0.122324:0.399468:0.105963:0.392005:0.105963:0.000000
bx:@0.283314:0.143063:0.299991:0.143063:0.299991:0.126702:0.283314:0.126702:0.000000:0.000000
x:@0.360213:0.143063:0.367676:0.143063:0.367676:0.126702:0.360213:0.126702:0.000000
, 5  si :@0.325458:0.099725:0.349739:0.099725:0.349739:0.083336:0.325458:0.083336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, 1    si :@0.321322:0.122318:0.353785:0.122318:0.353785:0.105929:0.321322:0.105929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.260640:0.121903:0.283361:0.124260:0.283361:0.107318:0.260640:0.104961:0.000000:0.000000:0.000000
+:@0.304360:0.099310:0.314477:0.099310:0.314477:0.082368:0.304360:0.082368:0.000000
< −:@0.361744:0.099310:0.385460:0.099310:0.385460:0.082368:0.361744:0.082368:0.000000:0.000000:0.000000
+:@0.303680:0.121903:0.313797:0.121903:0.313797:0.104961:0.303680:0.104961:0.000000
− <<:@0.357286:0.121903:0.413996:0.121903:0.413996:0.104961:0.357286:0.104961:0.000000:0.000000:0.000000:0.000000
+:@0.304094:0.142648:0.314210:0.142648:0.314210:0.125706:0.304094:0.125706:0.000000
>:@0.372405:0.142648:0.382522:0.142648:0.382522:0.125706:0.372405:0.125706:0.000000
:@0.274259:0.100563:0.283363:0.100563:0.283363:0.083621:0.274259:0.083621:0.000000
:@0.274258:0.113735:0.283361:0.113735:0.283361:0.096793:0.274258:0.096793:0.000000
:@0.274258:0.147992:0.283361:0.147992:0.283361:0.131050:0.274258:0.131050:0.000000
:@0.274258:0.137422:0.283361:0.137422:0.283361:0.120480:0.274258:0.120480:0.000000
1:@0.385393:0.099725:0.394386:0.099725:0.394386:0.083336:0.385393:0.083336:0.000000
1:@0.368542:0.122318:0.377535:0.122318:0.377535:0.105929:0.368542:0.105929:0.000000
2,:@0.416914:0.122318:0.431365:0.121931:0.431365:0.105542:0.416914:0.105929:0.000000:0.000000
6,    si :@0.317082:0.143063:0.360216:0.143063:0.360216:0.126674:0.317082:0.126674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.385448:0.143063:0.394441:0.143063:0.394441:0.126674:0.385448:0.126674:0.000000
2:@0.293784:0.114656:0.298996:0.114656:0.298996:0.105157:0.293784:0.105157:0.000000
 :@0.096351:0.164680:0.100386:0.164680:0.100386:0.148291:0.096351:0.148291:0.000000
determinemos los valores de   y   que aseguren la existencia de los límites: :@0.124843:0.164680:0.679825:0.164680:0.679825:0.148291:0.124843:0.148291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.340554:0.164680:0.375271:0.164680:0.375271:0.148319:0.340554:0.148319:0.000000:0.000000:0.000000
lim( )  y  :@0.129616:0.181464:0.208888:0.181464:0.208888:0.165075:0.129616:0.165075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim ():@0.211066:0.181464:0.263493:0.181464:0.263493:0.165075:0.211066:0.165075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.128517:0.188025:0.132842:0.188025:0.132842:0.178543:0.128517:0.178543:0.000000
x:@0.212277:0.188025:0.216603:0.188025:0.216603:0.178543:0.212277:0.178543:0.000000
fx:@0.156314:0.181464:0.177653:0.181464:0.177653:0.165102:0.156314:0.165102:0.000000:0.000000
fx:@0.235461:0.181464:0.256800:0.181464:0.256800:0.165102:0.235461:0.165102:0.000000:0.000000
→−:@0.134117:0.187785:0.151076:0.187785:0.151076:0.177966:0.134117:0.177966:0.000000:0.000000
→:@0.217878:0.187785:0.228418:0.187785:0.228418:0.177966:0.217878:0.177966:0.000000
1:@0.151023:0.188025:0.156235:0.188025:0.156235:0.178527:0.151023:0.178527:0.000000
2:@0.228664:0.188025:0.233876:0.188025:0.233876:0.178527:0.228664:0.178527:0.000000
Una indeterminación es :@0.754293:0.601673:0.917392:0.601673:0.917392:0.586774:0.754293:0.586774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una expresión que no se :@0.754293:0.615503:0.921564:0.615503:0.921564:0.600604:0.754293:0.600604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede evaluar :@0.754293:0.629333:0.853499:0.629333:0.853499:0.614434:0.754293:0.614434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
directamente y cuyo valor :@0.754293:0.643164:0.931414:0.643164:0.931414:0.628265:0.754293:0.628265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no está definido. Son :@0.754293:0.656994:0.898010:0.656994:0.898010:0.642095:0.754293:0.642095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indeterminaciones::@0.754293:0.670824:0.882229:0.670824:0.882229:0.655925:0.754293:0.655925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.758109:0.689816:0.766202:0.689816:0.766202:0.675066:0.758109:0.675066:0.000000
0:@0.758109:0.707466:0.766202:0.707466:0.766202:0.692716:0.758109:0.692716:0.000000
0.,:@0.756782:0.724867:0.782994:0.724861:0.782994:0.710111:0.756782:0.710117:0.000000:0.000000:0.000000
0 1 ,,:@0.784728:0.724867:0.821123:0.724861:0.821123:0.710111:0.784728:0.710117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.793259:0.717963:0.797949:0.717963:0.797949:0.709415:0.793259:0.709415:0.000000
0:@0.835291:0.717963:0.839981:0.717963:0.839981:0.709415:0.835291:0.709415:0.000000
,:@0.769229:0.697701:0.772115:0.697701:0.772115:0.682951:0.769229:0.682951:0.000000
,:@0.790192:0.697701:0.793078:0.697701:0.793078:0.682951:0.790192:0.682951:0.000000
∞:@0.775166:0.689442:0.786991:0.689442:0.786991:0.674194:0.775166:0.674194:0.000000
∞:@0.775166:0.707088:0.786991:0.707088:0.786991:0.691841:0.775166:0.691841:0.000000
∞−∞:@0.794819:0.697330:0.832599:0.697330:0.832599:0.682082:0.794819:0.682082:0.000000:0.000000:0.000000
∞:@0.767909:0.724486:0.779734:0.724486:0.779734:0.709238:0.767909:0.709238:0.000000
∞:@0.822855:0.724486:0.834680:0.724486:0.834680:0.709238:0.822855:0.709238:0.000000
∞:@0.809137:0.717747:0.815990:0.717747:0.815990:0.708910:0.809137:0.708910:0.000000
     Matemática:@0.775158:0.569230:0.882699:0.569230:0.882699:0.552330:0.775158:0.552330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  lim:@0.123645:0.806020:0.156262:0.806020:0.156262:0.789632:0.123645:0.789632:0.000000:0.000000:0.000000:0.000000:0.000000
 lim:@0.125377:0.847207:0.153959:0.847207:0.153959:0.830818:0.125377:0.830818:0.000000:0.000000:0.000000:0.000000
x:@0.135737:0.812582:0.140062:0.812582:0.140062:0.803100:0.135737:0.803100:0.000000
x:@0.133441:0.853748:0.137766:0.853748:0.137766:0.844266:0.133441:0.844266:0.000000
x:@0.172698:0.797248:0.180161:0.797248:0.180161:0.780887:0.172698:0.780887:0.000000
x:@0.181027:0.816860:0.188490:0.816860:0.188490:0.800498:0.181027:0.800498:0.000000
x:@0.179461:0.838435:0.186924:0.838435:0.186924:0.822074:0.179461:0.822074:0.000000
x:@0.187790:0.858046:0.195253:0.858046:0.195253:0.841685:0.187790:0.841685:0.000000
x:@0.273847:0.838435:0.281310:0.838435:0.281310:0.822074:0.273847:0.822074:0.000000
→:@0.141339:0.812342:0.151880:0.812342:0.151880:0.802523:0.141339:0.802523:0.000000
→:@0.139043:0.853508:0.149584:0.853508:0.149584:0.843689:0.139043:0.843689:0.000000
+−:@0.184254:0.796833:0.219819:0.796833:0.219819:0.779891:0.184254:0.779891:0.000000:0.000000
−:@0.192583:0.816445:0.202700:0.816445:0.202700:0.799503:0.192583:0.799503:0.000000
= =:@0.235464:0.805602:0.274011:0.805602:0.274011:0.788660:0.235464:0.788660:0.000000:0.000000:0.000000
+− :@0.191035:0.838020:0.256468:0.836291:0.256468:0.819349:0.191035:0.821078:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.199346:0.857631:0.209463:0.857631:0.209463:0.840689:0.199346:0.840689:0.000000
:@0.155009:0.836291:0.162085:0.836291:0.162085:0.819349:0.155009:0.819349:0.000000
:@0.155009:0.862029:0.162085:0.862029:0.162085:0.845087:0.155009:0.845087:0.000000
:@0.155009:0.848822:0.162085:0.848822:0.162085:0.831879:0.155009:0.831879:0.000000
:@0.155009:0.853344:0.162085:0.853344:0.162085:0.836402:0.155009:0.836402:0.000000
:@0.240753:0.862029:0.256468:0.862029:0.256468:0.845087:0.240753:0.845087:0.000000:0.000000
:@0.240753:0.848822:0.256468:0.848822:0.256468:0.831879:0.240753:0.831879:0.000000:0.000000
:@0.240753:0.853344:0.256468:0.853344:0.256468:0.836402:0.240753:0.836402:0.000000:0.000000
+ + :@0.285403:0.838020:0.342525:0.836291:0.342525:0.819349:0.285403:0.821078:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.151443:0.812582:0.156654:0.812582:0.156654:0.803084:0.151443:0.803084:0.000000
1:@0.149146:0.853748:0.154358:0.853748:0.154358:0.844250:0.149146:0.844250:0.000000
32:@0.196989:0.797248:0.231117:0.797248:0.231117:0.780859:0.196989:0.780859:0.000000:0.000000
1:@0.203844:0.816860:0.212837:0.816860:0.212837:0.800471:0.203844:0.800471:0.000000
0:@0.249950:0.797248:0.258943:0.797248:0.258943:0.780859:0.249950:0.780859:0.000000
0:@0.249950:0.816860:0.258943:0.816860:0.258943:0.800471:0.249950:0.800471:0.000000
32:@0.203752:0.838435:0.237880:0.838435:0.237880:0.822046:0.203752:0.822046:0.000000:0.000000
1:@0.210589:0.858046:0.219581:0.858046:0.219581:0.841657:0.210589:0.841657:0.000000
3 32:@0.298140:0.838435:0.332581:0.838435:0.332581:0.822046:0.298140:0.822046:0.000000:0.000000:0.000000:0.000000
32:@0.298140:0.859001:0.332581:0.859001:0.332581:0.842612:0.298140:0.842612:0.000000:0.000000
1:@0.243742:0.890146:0.252734:0.890146:0.252734:0.873758:0.243742:0.873758:0.000000
1:@0.199921:0.911846:0.208913:0.911846:0.208913:0.895457:0.199921:0.895457:0.000000
3 2:@0.262740:0.911846:0.297182:0.911846:0.297182:0.895457:0.262740:0.895457:0.000000:0.000000:0.000000
1:@0.333355:0.890146:0.342348:0.890146:0.342348:0.873758:0.333355:0.873758:0.000000
4:@0.332636:0.909758:0.341629:0.909758:0.341629:0.893369:0.332636:0.893369:0.000000
1:@0.149149:0.905475:0.154361:0.905475:0.154361:0.895977:0.149149:0.895977:0.000000
++:@0.285418:0.858586:0.320983:0.858586:0.320983:0.841644:0.285418:0.841644:0.000000:0.000000
:@0.335449:0.862029:0.342525:0.862029:0.342525:0.845087:0.335449:0.845087:0.000000
:@0.335449:0.848822:0.342525:0.848822:0.342525:0.831879:0.335449:0.831879:0.000000
:@0.335449:0.853344:0.342525:0.853344:0.342525:0.836402:0.335449:0.836402:0.000000
−:@0.232494:0.889732:0.242611:0.889732:0.242611:0.872789:0.232494:0.872789:0.000000
−:@0.188673:0.911431:0.198790:0.911431:0.198790:0.894489:0.188673:0.894489:0.000000
(:@0.168624:0.913165:0.136431:0.913165:0.136431:0.891513:0.168624:0.891513:0.000000
):@0.206953:0.913165:0.174760:0.913165:0.174760:0.891513:0.206953:0.891513:0.000000
++:@0.250029:0.911425:0.285594:0.911425:0.285594:0.894483:0.250029:0.894483:0.000000:0.000000
(:@0.217519:0.916070:0.143402:0.916070:0.143402:0.886388:0.217519:0.886388:0.000000
):@0.297772:0.916070:0.223655:0.916070:0.223655:0.886388:0.297772:0.886388:0.000000
:@0.155012:0.882742:0.162089:0.882742:0.162089:0.865800:0.155012:0.865800:0.000000
:@0.155012:0.918991:0.162089:0.918991:0.162089:0.902049:0.155012:0.902049:0.000000
:@0.155012:0.895245:0.162089:0.895245:0.162089:0.878303:0.155012:0.878303:0.000000
:@0.155012:0.908411:0.162089:0.908411:0.162089:0.891469:0.155012:0.891469:0.000000
:@0.307096:0.882728:0.314172:0.882728:0.314172:0.865786:0.307096:0.865786:0.000000
:@0.307096:0.918978:0.314172:0.918978:0.314172:0.902036:0.307096:0.902036:0.000000
:@0.307096:0.895231:0.314172:0.895231:0.314172:0.878289:0.307096:0.878289:0.000000
:@0.307096:0.908397:0.314172:0.908397:0.314172:0.891455:0.307096:0.891455:0.000000
=:@0.317563:0.898467:0.327679:0.898467:0.327679:0.881525:0.317563:0.881525:0.000000
→:@0.139044:0.905235:0.149585:0.905235:0.149585:0.895416:0.139044:0.895416:0.000000
x:@0.273849:0.858994:0.281312:0.858994:0.281312:0.842633:0.273849:0.842633:0.000000
x:@0.220925:0.890140:0.228388:0.890140:0.228388:0.873779:0.220925:0.873779:0.000000
x:@0.177085:0.911840:0.184549:0.911840:0.184549:0.895479:0.177085:0.895479:0.000000
x:@0.238449:0.911840:0.245913:0.911840:0.245913:0.895479:0.238449:0.895479:0.000000
x:@0.133444:0.905475:0.137769:0.905475:0.137769:0.895993:0.133444:0.895993:0.000000
 lim:@0.125381:0.898904:0.153980:0.898904:0.153980:0.882515:0.125381:0.882515:0.000000:0.000000:0.000000:0.000000
   lim:@0.434211:0.804943:0.471546:0.804943:0.471546:0.788554:0.434211:0.788554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim:@0.445618:0.847969:0.468468:0.847969:0.468468:0.831580:0.445618:0.831580:0.000000:0.000000:0.000000
x:@0.449759:0.811514:0.454084:0.811514:0.454084:0.802032:0.449759:0.802032:0.000000
x:@0.446683:0.854541:0.451009:0.854541:0.451009:0.845059:0.446683:0.845059:0.000000
x:@0.503263:0.796191:0.510726:0.796191:0.510726:0.779830:0.503263:0.779830:0.000000
x:@0.508920:0.816729:0.516383:0.816729:0.516383:0.800368:0.508920:0.800368:0.000000
x:@0.509234:0.839217:0.516697:0.839217:0.516697:0.822856:0.509234:0.822856:0.000000
x:@0.514909:0.859755:0.522372:0.859755:0.522372:0.843394:0.514909:0.843394:0.000000
x:@0.601869:0.839217:0.609332:0.839217:0.609332:0.822856:0.601869:0.822856:0.000000
x:@0.601869:0.859755:0.609332:0.859755:0.609332:0.843394:0.601869:0.843394:0.000000
→:@0.455361:0.811274:0.465902:0.811274:0.465902:0.801455:0.455361:0.801455:0.000000
→:@0.452285:0.854300:0.462826:0.854300:0.462826:0.844481:0.452285:0.844481:0.000000
+−:@0.494781:0.816315:0.532060:0.816315:0.532060:0.799373:0.494781:0.799373:0.000000:0.000000
= =:@0.543983:0.804532:0.582530:0.804532:0.582530:0.787590:0.543983:0.787590:0.000000:0.000000:0.000000
+−  :@0.500752:0.859341:0.564213:0.862810:0.564213:0.845868:0.500752:0.842399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.470180:0.839398:0.477257:0.839398:0.477257:0.822456:0.470180:0.822456:0.000000
:@0.470180:0.860503:0.477257:0.860503:0.477257:0.843561:0.470180:0.843561:0.000000
:@0.470180:0.851818:0.477257:0.851818:0.477257:0.834876:0.470180:0.834876:0.000000
 :@0.548479:0.839398:0.564213:0.837072:0.564213:0.820130:0.548479:0.822456:0.000000:0.000000:0.000000
 :@0.548479:0.851818:0.564213:0.849602:0.564213:0.832660:0.548479:0.834876:0.000000:0.000000:0.000000
++ :@0.587712:0.838817:0.642862:0.837072:0.642862:0.820130:0.587712:0.821875:0.000000:0.000000:0.000000:0.000000
+ +:@0.587712:0.859355:0.625006:0.859339:0.625006:0.842397:0.587712:0.842413:0.000000:0.000000:0.000000
0:@0.466146:0.811514:0.471358:0.811514:0.471358:0.802016:0.466146:0.802016:0.000000
0:@0.463071:0.854541:0.468282:0.854541:0.468282:0.845043:0.463071:0.845043:0.000000
1:@0.486078:0.816730:0.495071:0.816730:0.495071:0.800341:0.486078:0.800341:0.000000
1 0:@0.533198:0.816730:0.567492:0.815804:0.567492:0.799415:0.533198:0.800341:0.000000:0.000000:0.000000
0:@0.558499:0.796192:0.567492:0.796192:0.567492:0.779803:0.558499:0.779803:0.000000
1:@0.492086:0.859756:0.501078:0.859756:0.501078:0.843367:0.492086:0.843367:0.000000
1:@0.539205:0.859756:0.548198:0.859756:0.548198:0.843367:0.539205:0.843367:0.000000
1:@0.579046:0.839218:0.588038:0.839218:0.588038:0.822829:0.579046:0.822829:0.000000
1:@0.626479:0.839218:0.635471:0.839218:0.635471:0.822829:0.626479:0.822829:0.000000
1:@0.579046:0.859756:0.588038:0.859756:0.588038:0.843367:0.579046:0.843367:0.000000
+:@0.614889:0.859339:0.625006:0.859339:0.625006:0.842397:0.614889:0.842397:0.000000
:@0.557137:0.854125:0.564213:0.854125:0.564213:0.837183:0.557137:0.837183:0.000000
:@0.635786:0.862810:0.642862:0.862810:0.642862:0.845868:0.635786:0.845868:0.000000
:@0.635786:0.849602:0.642862:0.849602:0.642862:0.832660:0.635786:0.832660:0.000000
:@0.635786:0.854125:0.642862:0.854125:0.642862:0.837183:0.635786:0.837183:0.000000
++:@0.525736:0.886377:0.563015:0.886377:0.563015:0.869435:0.525736:0.869435:0.000000:0.000000
(:@0.498656:0.891025:0.431966:0.891025:0.431966:0.861342:0.498656:0.861342:0.000000
):@0.571483:0.891025:0.504792:0.891025:0.504792:0.861342:0.571483:0.861342:0.000000
:@0.470190:0.883502:0.477267:0.883502:0.477267:0.866560:0.470190:0.866560:0.000000
:@0.470190:0.919779:0.477267:0.919779:0.477267:0.902837:0.470190:0.902837:0.000000
:@0.470190:0.896046:0.477267:0.896046:0.477267:0.879104:0.470190:0.879104:0.000000
:@0.470190:0.909212:0.477267:0.909212:0.477267:0.892270:0.470190:0.892270:0.000000
:@0.580811:0.883502:0.587888:0.883502:0.587888:0.866560:0.580811:0.866560:0.000000
:@0.580811:0.919779:0.587888:0.919779:0.587888:0.902837:0.580811:0.902837:0.000000
:@0.580811:0.896046:0.587888:0.896046:0.587888:0.879104:0.580811:0.879104:0.000000
:@0.580811:0.909212:0.587888:0.909212:0.587888:0.892270:0.580811:0.892270:0.000000
=:@0.591278:0.899282:0.601395:0.899282:0.601395:0.882340:0.591278:0.882340:0.000000
→:@0.452285:0.905994:0.462826:0.905994:0.462826:0.896175:0.452285:0.896175:0.000000
1:@0.626458:0.859754:0.635451:0.859754:0.635451:0.843365:0.626458:0.843365:0.000000
1:@0.517054:0.886792:0.526046:0.886792:0.526046:0.870403:0.517054:0.870403:0.000000
1:@0.564486:0.886792:0.573479:0.886792:0.573479:0.870403:0.564486:0.870403:0.000000
2:@0.604327:0.899696:0.613319:0.899696:0.613319:0.883307:0.604327:0.883307:0.000000
0:@0.463071:0.906235:0.468282:0.906235:0.468282:0.896736:0.463071:0.896736:0.000000
lim:@0.445625:0.899692:0.468475:0.899692:0.468475:0.883303:0.445625:0.883303:0.000000:0.000000:0.000000
x:@0.446685:0.906235:0.451010:0.906235:0.451010:0.896752:0.446685:0.896752:0.000000
x:@0.485216:0.886795:0.492679:0.886795:0.492679:0.870433:0.485216:0.870433:0.000000
x:@0.539872:0.886795:0.547335:0.886795:0.547335:0.870433:0.539872:0.870433:0.000000
x:@0.525369:0.910804:0.532833:0.910804:0.532833:0.894443:0.525369:0.894443:0.000000
Límites con indeterminaciones de la forma 0/0:@0.096359:0.398709:0.563168:0.398709:0.563168:0.377199:0.096359:0.377199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si al evaluar un límite obtenemos :@0.096359:0.425302:0.345609:0.425302:0.345609:0.408913:0.096359:0.408913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.349866:0.417020:0.358859:0.417020:0.358859:0.400631:0.349866:0.400631:0.000000
0:@0.349866:0.436632:0.358859:0.436632:0.358859:0.420243:0.349866:0.420243:0.000000
 se trata de una forma indeterminada, la cual se :@0.364315:0.425302:0.716486:0.425302:0.716486:0.408913:0.364315:0.408913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evita factorizando, racionalizando la expresión o efectuando operaciones algebraicas :@0.096359:0.451704:0.716482:0.451704:0.716482:0.435315:0.096359:0.435315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adecuadas. :@0.096359:0.468301:0.182359:0.468301:0.182359:0.451912:0.096359:0.451912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos algunos ejemplos paso a paso.:@0.096359:0.492020:0.411890:0.492020:0.411890:0.475631:0.096359:0.475631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.096359:0.526153:0.110585:0.526153:0.110585:0.509252:0.096359:0.509252:0.000000:0.000000
 lim:@0.119179:0.526700:0.151292:0.526700:0.151292:0.510311:0.119179:0.510311:0.000000:0.000000:0.000000:0.000000
x:@0.126666:0.533261:0.130991:0.533261:0.130991:0.523779:0.126666:0.523779:0.000000
x:@0.158653:0.517938:0.166116:0.517938:0.166116:0.501576:0.158653:0.501576:0.000000
x:@0.166613:0.537549:0.174077:0.537549:0.174077:0.521188:0.166613:0.521188:0.000000
→−:@0.132268:0.533021:0.149227:0.533021:0.149227:0.523202:0.132268:0.523202:0.000000:0.000000
−:@0.177603:0.517523:0.187720:0.517523:0.187720:0.500581:0.177603:0.500581:0.000000
+:@0.178174:0.537134:0.188291:0.537134:0.188291:0.520192:0.178174:0.520192:0.000000
5:@0.149176:0.533261:0.154388:0.533261:0.154388:0.523763:0.149176:0.523763:0.000000
2:@0.167709:0.510276:0.172921:0.510276:0.172921:0.500778:0.167709:0.500778:0.000000
25:@0.190010:0.517938:0.207903:0.517938:0.207903:0.501549:0.190010:0.501549:0.000000:0.000000
5:@0.190894:0.537549:0.199887:0.537549:0.199887:0.521160:0.190894:0.521160:0.000000
4.:@0.409458:0.526690:0.423684:0.526690:0.423684:0.509789:0.409458:0.509789:0.000000:0.000000
 lim:@0.433228:0.527057:0.462355:0.527057:0.462355:0.510668:0.433228:0.510668:0.000000:0.000000:0.000000:0.000000
x:@0.440715:0.533618:0.445040:0.533618:0.445040:0.524136:0.440715:0.524136:0.000000
x:@0.466785:0.518295:0.474248:0.518295:0.474248:0.501933:0.466785:0.501933:0.000000
x:@0.509094:0.518295:0.516558:0.518295:0.516558:0.501933:0.509094:0.501933:0.000000
x:@0.488658:0.537906:0.496121:0.537906:0.496121:0.521545:0.488658:0.521545:0.000000
→:@0.446315:0.533378:0.456856:0.533378:0.456856:0.523559:0.446315:0.523559:0.000000
−:@0.485737:0.517880:0.495853:0.517880:0.495853:0.500938:0.485737:0.500938:0.000000
+:@0.520657:0.517880:0.530774:0.517880:0.530774:0.500938:0.520657:0.500938:0.000000
−:@0.500239:0.537491:0.510356:0.537491:0.510356:0.520549:0.500239:0.520549:0.000000
2:@0.457100:0.533618:0.462312:0.533618:0.462312:0.524120:0.457100:0.524120:0.000000
2:@0.475841:0.510632:0.481053:0.510632:0.481053:0.501134:0.475841:0.501134:0.000000
4:@0.498720:0.518295:0.507712:0.518295:0.507712:0.501906:0.498720:0.501906:0.000000
4:@0.533953:0.518295:0.542946:0.518295:0.542946:0.501906:0.533953:0.501906:0.000000
2:@0.512651:0.537906:0.521644:0.537906:0.521644:0.521517:0.512651:0.521517:0.000000
nidad de conocimientos:@0.117254:0.367759:0.290924:0.367759:0.290924:0.352395:0.117254:0.352395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.095418:0.368545:0.107985:0.368545:0.107985:0.351409:0.095418:0.351409:0.000000
5.:@0.096358:0.748699:0.110584:0.748699:0.110584:0.731798:0.096358:0.731798:0.000000:0.000000
 lim:@0.119773:0.748276:0.148377:0.748276:0.148377:0.731887:0.119773:0.731887:0.000000:0.000000:0.000000:0.000000
x:@0.127835:0.754838:0.132160:0.754838:0.132160:0.745356:0.127835:0.745356:0.000000
x:@0.164796:0.739514:0.172259:0.739514:0.172259:0.723153:0.164796:0.723153:0.000000
x:@0.173118:0.759121:0.180582:0.759121:0.180582:0.742759:0.173118:0.742759:0.000000
→:@0.133437:0.754597:0.143978:0.754597:0.143978:0.744779:0.133437:0.744779:0.000000
+−:@0.176365:0.739099:0.211930:0.739099:0.211930:0.722157:0.176365:0.722157:0.000000:0.000000
−:@0.184694:0.758711:0.194811:0.758711:0.194811:0.741769:0.184694:0.741769:0.000000
1:@0.143540:0.754838:0.148752:0.754838:0.148752:0.745340:0.143540:0.745340:0.000000
32:@0.189087:0.739514:0.223215:0.739514:0.223215:0.723125:0.189087:0.723125:0.000000:0.000000
1:@0.195942:0.759126:0.204935:0.759126:0.204935:0.742737:0.195942:0.742737:0.000000
 racionalizamos y:@0.226989:0.748693:0.352408:0.748693:0.352408:0.732304:0.226989:0.732304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evaluamos.:@0.124845:0.773836:0.207380:0.773836:0.207380:0.757447:0.124845:0.757447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.:@0.409460:0.743520:0.423686:0.743520:0.423686:0.726619:0.409460:0.726619:0.000000:0.000000
 lim:@0.432002:0.743460:0.461286:0.743460:0.461286:0.727071:0.432002:0.727071:0.000000:0.000000:0.000000:0.000000
x:@0.439487:0.750021:0.443812:0.750021:0.443812:0.740539:0.439487:0.740539:0.000000
x:@0.492990:0.734698:0.500454:0.734698:0.500454:0.718336:0.492990:0.718336:0.000000
x:@0.498648:0.755249:0.506111:0.755249:0.506111:0.738888:0.498648:0.738888:0.000000
→:@0.445089:0.749781:0.455629:0.749781:0.455629:0.739962:0.445089:0.739962:0.000000
+−:@0.484509:0.754832:0.521788:0.754832:0.521788:0.737890:0.484509:0.737890:0.000000:0.000000
0:@0.455874:0.750021:0.461085:0.750021:0.461085:0.740523:0.455874:0.740523:0.000000
1:@0.475819:0.755247:0.484812:0.755247:0.484812:0.738858:0.475819:0.738858:0.000000
1:@0.522939:0.755247:0.531931:0.755247:0.531931:0.738858:0.522939:0.738858:0.000000
 racionalizamos y:@0.540086:0.743524:0.665505:0.743524:0.665505:0.727135:0.540086:0.727135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evaluamos.:@0.437942:0.772443:0.520478:0.772443:0.520478:0.756054:0.437942:0.756054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 indeterminado:@0.274243:0.804910:0.377720:0.804910:0.377720:0.790011:0.274243:0.790011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 indeterminado:@0.586256:0.804194:0.689734:0.804194:0.689734:0.789295:0.586256:0.789295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La constancia es como un :@0.754293:0.213419:0.930963:0.213419:0.930963:0.198520:0.754293:0.198520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
músculo que se fortalece :@0.754293:0.227250:0.925616:0.227250:0.925616:0.212351:0.754293:0.212351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con cada desafío :@0.754293:0.241080:0.870353:0.241080:0.870353:0.226181:0.754293:0.226181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
superado. En cada paso :@0.754293:0.254910:0.915265:0.254910:0.915265:0.240011:0.754293:0.240011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
persistente hacia nuestros :@0.754293:0.268741:0.931496:0.268741:0.931496:0.253842:0.754293:0.253842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objetivos, encontramos:@0.754293:0.282571:0.910926:0.282571:0.910926:0.267672:0.754293:0.267672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el camino hacia el éxito:@0.754293:0.296401:0.910472:0.296401:0.910472:0.281502:0.754293:0.281502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la realización personal.:@0.754293:0.310231:0.914930:0.310231:0.914930:0.295332:0.754293:0.295332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué logros podrías :@0.754293:0.327620:0.882531:0.327620:0.882531:0.312746:0.754293:0.312746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alcanzar si mantuvieras:@0.754293:0.341450:0.904977:0.341450:0.904977:0.326576:0.754293:0.326576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la constancia incluso :@0.754293:0.355281:0.890825:0.355281:0.890825:0.340407:0.754293:0.340407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando no ves resultados :@0.754293:0.369111:0.917895:0.369111:0.917895:0.354237:0.754293:0.354237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inmediatos?:@0.754293:0.382941:0.831972:0.382941:0.831972:0.368067:0.754293:0.368067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.759543:0.180978:0.898315:0.180978:0.898315:0.164078:0.759543:0.164078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000