79:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Les resulta familiar la gráfica de la siguiente función?:@0.523185:0.158682:0.907593:0.158682:0.907593:0.142970:0.523185:0.142970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En grupos de cuatro estudiantes, expliquen por qué los :@0.523185:0.175324:0.921345:0.175324:0.921345:0.159612:0.523185:0.159612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
límites en :@0.523185:0.195350:0.597342:0.195350:0.597342:0.179637:0.523185:0.179637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.597196:0.195030:0.603973:0.195030:0.603973:0.180115:0.597196:0.180115:0.000000
=:@0.603906:0.195559:0.617845:0.195559:0.617845:0.179510:0.603906:0.179510:0.000000
π:@0.620032:0.190286:0.629733:0.190286:0.629733:0.174573:0.620032:0.174573:0.000000
2:@0.620401:0.204265:0.629383:0.204265:0.629383:0.188552:0.620401:0.188552:0.000000
 y :@0.632089:0.195347:0.648104:0.195347:0.648104:0.179635:0.632089:0.179635:0.000000:0.000000:0.000000
x:@0.648003:0.195030:0.654780:0.195030:0.654780:0.180115:0.648003:0.180115:0.000000
=– :@0.654713:0.195559:0.681036:0.195559:0.681036:0.179510:0.654713:0.179510:0.000000:0.000000:0.000000
π:@0.683223:0.190286:0.692923:0.190286:0.692923:0.174573:0.683223:0.174573:0.000000
2:@0.683591:0.204265:0.692574:0.204265:0.692574:0.188552:0.683591:0.188552:0.000000
 no existen.:@0.695280:0.195347:0.777295:0.195347:0.777295:0.179635:0.695280:0.179635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.711341:0.331062:0.715424:0.331062:0.715424:0.323919:0.711341:0.323919:0.000000
-1:@0.708847:0.345737:0.715424:0.345737:0.715424:0.338595:0.708847:0.338595:0.000000:0.000000
-2:@0.708847:0.363948:0.715424:0.363948:0.715424:0.356806:0.708847:0.356806:0.000000:0.000000
-3:@0.708847:0.381996:0.715424:0.381996:0.715424:0.374854:0.708847:0.374854:0.000000:0.000000
-4:@0.708847:0.400289:0.715424:0.400289:0.715424:0.393147:0.708847:0.393147:0.000000:0.000000
-5:@0.708847:0.417473:0.715424:0.417473:0.715424:0.410331:0.708847:0.410331:0.000000:0.000000
5:@0.711341:0.238050:0.715424:0.238050:0.715424:0.230908:0.711341:0.230908:0.000000
4:@0.711341:0.256262:0.715424:0.256262:0.715424:0.249119:0.711341:0.249119:0.000000
3:@0.711341:0.274309:0.715424:0.274309:0.715424:0.267167:0.711341:0.267167:0.000000
2:@0.711341:0.292603:0.715424:0.292603:0.715424:0.285460:0.711341:0.285460:0.000000
1:@0.711341:0.309786:0.715424:0.309786:0.715424:0.302644:0.711341:0.302644:0.000000
1:@0.738709:0.331055:0.742792:0.331055:0.742792:0.323913:0.738709:0.323913:0.000000
2:@0.762772:0.331055:0.766855:0.331055:0.766855:0.323913:0.762772:0.323913:0.000000
3:@0.787003:0.331055:0.791086:0.331055:0.791086:0.323913:0.787003:0.323913:0.000000
-3:@0.642439:0.331055:0.649016:0.331055:0.649016:0.323913:0.642439:0.323913:0.000000:0.000000
-2:@0.666502:0.331055:0.673079:0.331055:0.673079:0.323913:0.666502:0.323913:0.000000:0.000000
-1:@0.690733:0.331055:0.697309:0.331055:0.697309:0.323913:0.690733:0.323913:0.000000:0.000000
Realicen la siguiente actividad en parejas::@0.523185:0.445227:0.795050:0.445227:0.795050:0.430943:0.523185:0.430943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Un grupo puede analizar el comportamiento de la :@0.523185:0.460356:0.921145:0.460356:0.921145:0.446072:0.523185:0.446072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente cuando :@0.553306:0.485218:0.673075:0.485218:0.673075:0.470934:0.553306:0.470934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.673572:0.485218:0.680350:0.485218:0.680350:0.470303:0.673572:0.470303:0.000000
=:@0.680350:0.485747:0.694289:0.485747:0.694289:0.469698:0.680350:0.469698:0.000000
π:@0.696469:0.479590:0.705288:0.479590:0.705288:0.465306:0.696469:0.465306:0.000000
–:@0.706219:0.474386:0.711096:0.474386:0.711096:0.465029:0.706219:0.465029:0.000000
2:@0.699701:0.492618:0.707867:0.492618:0.707867:0.478334:0.699701:0.478334:0.000000
 y otro cuando :@0.713322:0.485528:0.825391:0.485528:0.825391:0.469815:0.713322:0.469815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.825919:0.485213:0.832696:0.485213:0.832696:0.470298:0.825919:0.470298:0.000000
=:@0.832696:0.485742:0.846636:0.485742:0.846636:0.469693:0.832696:0.469693:0.000000
π:@0.847745:0.478248:0.856564:0.478248:0.856564:0.463964:0.847745:0.463964:0.000000
+:@0.857496:0.473045:0.865623:0.473045:0.865623:0.463688:0.857496:0.463688:0.000000
2:@0.852053:0.492242:0.860219:0.492242:0.860219:0.477957:0.852053:0.477957:0.000000
 similar :@0.865580:0.485528:0.921409:0.485528:0.921409:0.469815:0.865580:0.469815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para :@0.553301:0.505554:0.589343:0.505554:0.589343:0.489841:0.553301:0.489841:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.589237:0.505233:0.596014:0.505233:0.596014:0.490319:0.589237:0.490319:0.000000
=– :@0.595947:0.505763:0.622270:0.505763:0.622270:0.489714:0.595947:0.489714:0.000000:0.000000:0.000000
π:@0.624899:0.499229:0.633717:0.499229:0.633717:0.484944:0.624899:0.484944:0.000000
2:@0.625233:0.512252:0.633399:0.512252:0.633399:0.497968:0.625233:0.497968:0.000000
b.  Compartan sus observaciones para concluir :@0.523184:0.531084:0.845610:0.531084:0.845610:0.516800:0.523184:0.516800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colectivamente por qué los límites no existen.:@0.553304:0.546213:0.855224:0.546213:0.855224:0.531928:0.553304:0.531928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa la función :@0.521811:0.648900:0.652946:0.648900:0.652946:0.633746:0.521811:0.633746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.652536:0.648900:0.670927:0.648900:0.670927:0.633986:0.652536:0.633986:0.000000:0.000000:0.000000
( )=:@0.657707:0.649430:0.692212:0.649430:0.692212:0.633381:0.657707:0.633381:0.000000:0.000000:0.000000:0.000000
1:@0.694729:0.641452:0.703712:0.641452:0.703712:0.625739:0.694729:0.625739:0.000000
x:@0.695502:0.655584:0.702957:0.655584:0.702957:0.639178:0.695502:0.639178:0.000000
 en distintos valores cercanos a 0::@0.706292:0.648902:0.920772:0.648902:0.920772:0.634617:0.706292:0.634617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Completa la siguiente tabla con valores de   y :@0.521818:0.669111:0.826374:0.669111:0.826374:0.654827:0.521818:0.654827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f x:@0.805106:0.669111:0.844765:0.669111:0.844765:0.654197:0.805106:0.654197:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.831495:0.669641:0.851274:0.669641:0.851274:0.653592:0.831495:0.653592:0.000000:0.000000:0.000000
::@0.852195:0.669111:0.855106:0.669111:0.855106:0.654827:0.852195:0.654827:0.000000
x:@0.618478:0.700707:0.625255:0.700707:0.625255:0.685792:0.618478:0.685792:0.000000
f x:@0.794317:0.699698:0.812792:0.699698:0.812792:0.684784:0.794317:0.684784:0.000000:0.000000:0.000000
( )=:@0.799522:0.700228:0.834161:0.700228:0.834161:0.684179:0.799522:0.684179:0.000000:0.000000:0.000000:0.000000
1:@0.836718:0.692251:0.845700:0.692251:0.845700:0.676538:0.836718:0.676538:0.000000
x:@0.837472:0.706383:0.844927:0.706383:0.844927:0.689977:0.837472:0.689977:0.000000
0.1:@0.528814:0.728495:0.547925:0.728495:0.547925:0.714211:0.528814:0.714211:0.000000:0.000000:0.000000
0.01:@0.528814:0.748037:0.556024:0.748037:0.556024:0.733752:0.528814:0.733752:0.000000:0.000000:0.000000:0.000000
0.001:@0.528814:0.767578:0.564123:0.767578:0.564123:0.753294:0.528814:0.753294:0.000000:0.000000:0.000000:0.000000:0.000000
– :@0.528814:0.790562:0.541281:0.790562:0.541281:0.774512:0.528814:0.774512:0.000000:0.000000
0.1:@0.541281:0.790032:0.560391:0.790032:0.560391:0.775748:0.541281:0.775748:0.000000:0.000000:0.000000
– :@0.528814:0.813015:0.541281:0.813015:0.541281:0.796966:0.528814:0.796966:0.000000:0.000000
0.01:@0.541281:0.812486:0.568490:0.812486:0.568490:0.798202:0.541281:0.798202:0.000000:0.000000:0.000000:0.000000
– :@0.528814:0.835469:0.541281:0.835469:0.541281:0.819420:0.528814:0.819420:0.000000:0.000000
0.001:@0.541281:0.834940:0.576590:0.834940:0.576590:0.820655:0.541281:0.820655:0.000000:0.000000:0.000000:0.000000:0.000000
Reflexiona::@0.521820:0.853864:0.597423:0.853864:0.597423:0.838709:0.521820:0.838709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué observas cuando   se acerca a 0 desde el lado positivo?:@0.521820:0.872560:0.920989:0.872560:0.920989:0.858276:0.521820:0.858276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.675002:0.872560:0.681779:0.872560:0.681779:0.857646:0.675002:0.857646:0.000000
¿Qué observas cuando   se acerca a 0 desde el lado negativo?:@0.521820:0.891257:0.920588:0.891257:0.920588:0.876973:0.521820:0.876973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.673044:0.891257:0.679821:0.891257:0.679821:0.876343:0.673044:0.876343:0.000000
¿Parece que :@0.521836:0.909954:0.605807:0.909954:0.605807:0.895670:0.521836:0.895670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.605991:0.909954:0.624465:0.909954:0.624465:0.895039:0.605991:0.895039:0.000000:0.000000:0.000000
( ):@0.611195:0.910484:0.630975:0.910484:0.630975:0.894434:0.611195:0.894434:0.000000:0.000000:0.000000
 se acerca a algún valor específico o se aleja :@0.631895:0.909954:0.924637:0.909954:0.924637:0.895670:0.631895:0.895670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinitamente?:@0.521820:0.925083:0.616985:0.925083:0.616985:0.910799:0.521820:0.910799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.523185:0.139663:0.678645:0.139663:0.678645:0.122993:0.523185:0.122993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad indagatoria:@0.523185:0.620471:0.686546:0.620471:0.686546:0.603801:0.523185:0.603801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.256633:0.188383:0.261971:0.188383:0.261971:0.179046:0.256633:0.179046:0.000000
-1:@0.253373:0.212515:0.261971:0.212515:0.261971:0.203177:0.253373:0.203177:0.000000:0.000000
-2:@0.253373:0.243413:0.261971:0.243413:0.261971:0.234075:0.253373:0.234075:0.000000:0.000000
-3:@0.253373:0.274993:0.261972:0.274993:0.261972:0.265655:0.253373:0.265655:0.000000:0.000000
2:@0.256633:0.119581:0.261972:0.119581:0.261972:0.110243:0.256633:0.110243:0.000000
1:@0.256633:0.150237:0.261971:0.150237:0.261971:0.140899:0.256633:0.140899:0.000000
1:@0.306198:0.188387:0.311536:0.188387:0.311536:0.179050:0.306198:0.179050:0.000000
2:@0.347504:0.188387:0.352842:0.188387:0.352842:0.179050:0.347504:0.179050:0.000000
3:@0.389456:0.188387:0.394794:0.188387:0.394794:0.179050:0.389456:0.179050:0.000000
-2:@0.179677:0.188387:0.188275:0.188387:0.188275:0.179050:0.179677:0.179050:0.000000:0.000000
-1:@0.221508:0.188387:0.230106:0.188387:0.230106:0.179050:0.221508:0.179050:0.000000:0.000000
5.  Evalúa lo siguiente de acuerdo con la gráfica 1.8 :@0.073089:0.300322:0.489757:0.300322:0.489757:0.283652:0.073089:0.283652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
anterior.:@0.103214:0.316964:0.166187:0.316964:0.166187:0.300294:0.103214:0.300294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.    0:@0.104633:0.344327:0.159993:0.344327:0.159993:0.328614:0.104633:0.328614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.138792:0.344327:0.143485:0.344327:0.143485:0.327921:0.138792:0.327921:0.000000
( ) :@0.144518:0.344541:0.171692:0.344541:0.171692:0.328492:0.144518:0.328492:0.000000:0.000000:0.000000:0.000000
 :@0.192653:0.344541:0.196836:0.344541:0.196836:0.328492:0.192653:0.328492:0.000000
 :@0.251974:0.344541:0.256158:0.344541:0.256158:0.328492:0.251974:0.328492:0.000000
d.:@0.314057:0.344327:0.328102:0.344327:0.328102:0.328614:0.314057:0.328614:0.000000:0.000000
      :@0.329118:0.344541:0.354218:0.344541:0.354218:0.328492:0.329118:0.328492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.359779:0.353937:0.365201:0.353937:0.365201:0.342005:0.359779:0.342005:0.000000
0:@0.375683:0.353937:0.382216:0.353937:0.382216:0.342509:0.375683:0.342509:0.000000
+:@0.380952:0.349773:0.387454:0.349773:0.387454:0.342288:0.380952:0.342288:0.000000
lim :@0.360927:0.344133:0.390679:0.344133:0.390679:0.328420:0.360927:0.328420:0.000000:0.000000:0.000000:0.000000
f x:@0.391244:0.344133:0.410812:0.344133:0.410812:0.327727:0.391244:0.327727:0.000000:0.000000:0.000000
( ):@0.396925:0.344347:0.417374:0.344347:0.417374:0.328298:0.396925:0.328298:0.000000:0.000000:0.000000
b. :@0.104633:0.371690:0.123740:0.371690:0.123740:0.355978:0.104633:0.355978:0.000000:0.000000:0.000000
 :@0.133730:0.371690:0.137761:0.371690:0.137761:0.355978:0.133730:0.355978:0.000000
f:@0.138792:0.371690:0.143486:0.371690:0.143486:0.355284:0.138792:0.355284:0.000000
( ) :@0.144518:0.371905:0.171692:0.371905:0.171692:0.355855:0.144518:0.355855:0.000000:0.000000:0.000000:0.000000
1:@0.151011:0.371690:0.159993:0.371690:0.159993:0.355978:0.151011:0.355978:0.000000
 :@0.192653:0.371905:0.196836:0.371905:0.196836:0.355855:0.192653:0.355855:0.000000
 :@0.251974:0.371905:0.256158:0.371905:0.256158:0.355855:0.251974:0.355855:0.000000
e.:@0.314057:0.371690:0.327034:0.371690:0.327034:0.355978:0.314057:0.355978:0.000000:0.000000
      :@0.328050:0.371905:0.353151:0.371905:0.353151:0.355855:0.328050:0.355855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.361330:0.378970:0.366752:0.378970:0.366752:0.367038:0.361330:0.367038:0.000000
0:@0.377234:0.378970:0.383767:0.378970:0.383767:0.367542:0.377234:0.367542:0.000000
lim :@0.359859:0.371496:0.389611:0.371496:0.389611:0.355784:0.359859:0.355784:0.000000:0.000000:0.000000:0.000000
f x:@0.390176:0.371496:0.409745:0.371496:0.409745:0.355090:0.390176:0.355090:0.000000:0.000000:0.000000
( ):@0.395857:0.371710:0.416306:0.371710:0.416306:0.355661:0.395857:0.355661:0.000000:0.000000:0.000000
c.  lim :@0.104633:0.399054:0.164586:0.398859:0.164586:0.383147:0.104633:0.383341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.134834:0.408663:0.140256:0.408663:0.140256:0.396731:0.134834:0.396731:0.000000
0:@0.150738:0.408663:0.157271:0.408663:0.157271:0.397236:0.150738:0.397236:0.000000
–:@0.156007:0.404500:0.159910:0.404500:0.159910:0.397014:0.156007:0.397014:0.000000
f x:@0.165151:0.398859:0.184719:0.398859:0.184719:0.382453:0.165151:0.382453:0.000000:0.000000:0.000000
( ):@0.170832:0.399074:0.191282:0.399074:0.191282:0.383024:0.170832:0.383024:0.000000:0.000000:0.000000
0:@0.275611:0.511020:0.280661:0.511020:0.280661:0.502187:0.275611:0.502187:0.000000
-1:@0.272527:0.519206:0.280661:0.519206:0.280661:0.510373:0.272527:0.510373:0.000000:0.000000
-2:@0.272527:0.531961:0.280661:0.531961:0.280661:0.523128:0.272527:0.523128:0.000000:0.000000
-3:@0.272527:0.544396:0.280661:0.544396:0.280661:0.535563:0.272527:0.535563:0.000000:0.000000
-4:@0.272527:0.556955:0.280661:0.556955:0.280661:0.548122:0.272527:0.548122:0.000000:0.000000
-5:@0.272527:0.569141:0.280661:0.569141:0.280661:0.560308:0.272527:0.560308:0.000000:0.000000
-6:@0.272527:0.581895:0.280661:0.581895:0.280661:0.573062:0.272527:0.573062:0.000000:0.000000
-7:@0.272527:0.595172:0.280660:0.595172:0.280660:0.586339:0.272527:0.586339:0.000000:0.000000
5:@0.275611:0.444666:0.280661:0.444666:0.280661:0.435833:0.275611:0.435833:0.000000
4:@0.275611:0.456274:0.280661:0.456274:0.280661:0.447441:0.275611:0.447441:0.000000
7:@0.275611:0.419571:0.280661:0.419571:0.280661:0.410738:0.275611:0.410738:0.000000
6:@0.275611:0.431178:0.280661:0.431178:0.280661:0.422345:0.275611:0.422345:0.000000
3:@0.275611:0.469240:0.280661:0.469240:0.280661:0.460406:0.275611:0.460406:0.000000
2:@0.275611:0.481472:0.280661:0.481472:0.280661:0.472639:0.275611:0.472639:0.000000
1:@0.275611:0.494928:0.280661:0.494928:0.280661:0.486095:0.275611:0.486095:0.000000
1:@0.297435:0.511035:0.302484:0.511035:0.302484:0.502202:0.297435:0.502202:0.000000
2:@0.313226:0.511035:0.318275:0.511035:0.318275:0.502202:0.313226:0.502202:0.000000
3:@0.330641:0.511035:0.335691:0.511035:0.335691:0.502202:0.330641:0.502202:0.000000
4:@0.347249:0.511035:0.352299:0.511035:0.352299:0.502202:0.347249:0.502202:0.000000
5:@0.363040:0.511035:0.368090:0.511035:0.368090:0.502202:0.363040:0.502202:0.000000
6:@0.380456:0.511035:0.385506:0.511035:0.385506:0.502202:0.380456:0.502202:0.000000
7:@0.397054:0.511035:0.402104:0.511035:0.402104:0.502202:0.397054:0.502202:0.000000
8:@0.412845:0.511035:0.417895:0.511035:0.417895:0.502202:0.412845:0.502202:0.000000
9:@0.430237:0.511020:0.435287:0.511020:0.435287:0.502187:0.430237:0.502187:0.000000
-3 -2 -1:@0.229173:0.511020:0.271216:0.511020:0.271216:0.502187:0.229173:0.502187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
-6 -5 -4:@0.178251:0.511020:0.220294:0.511020:0.220294:0.502187:0.178251:0.502187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
-9 -8 -7:@0.129718:0.511020:0.171761:0.511020:0.171761:0.502187:0.129718:0.502187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.  En la gráfica 1.9 anterior, evalúa:@0.073089:0.615027:0.341112:0.615027:0.341112:0.598357:0.073089:0.598357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.    0:@0.104633:0.639887:0.159993:0.639887:0.159993:0.624175:0.104633:0.624175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.138792:0.639887:0.143485:0.639887:0.143485:0.623481:0.138792:0.623481:0.000000
( ) :@0.144518:0.640102:0.171692:0.640102:0.171692:0.624052:0.144518:0.624052:0.000000:0.000000:0.000000:0.000000
 :@0.192653:0.640102:0.196836:0.640102:0.196836:0.624052:0.192653:0.624052:0.000000
 :@0.251974:0.640102:0.256158:0.640102:0.256158:0.624052:0.251974:0.624052:0.000000
d.:@0.314057:0.639887:0.328102:0.639887:0.328102:0.624175:0.314057:0.624175:0.000000:0.000000
      :@0.329118:0.640102:0.354218:0.640102:0.354218:0.624052:0.329118:0.624052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.359779:0.649497:0.365201:0.649497:0.365201:0.637565:0.359779:0.637565:0.000000
0:@0.375683:0.649497:0.382216:0.649497:0.382216:0.638069:0.375683:0.638069:0.000000
+:@0.380952:0.645334:0.387454:0.645334:0.387454:0.637848:0.380952:0.637848:0.000000
lim :@0.360927:0.639693:0.390679:0.639693:0.390679:0.623981:0.360927:0.623981:0.000000:0.000000:0.000000:0.000000
f x:@0.391244:0.639693:0.410812:0.639693:0.410812:0.623287:0.391244:0.623287:0.000000:0.000000:0.000000
( ):@0.396925:0.639908:0.417374:0.639908:0.417374:0.623858:0.396925:0.623858:0.000000:0.000000:0.000000
b. :@0.104633:0.667251:0.123740:0.667251:0.123740:0.651538:0.104633:0.651538:0.000000:0.000000:0.000000
 :@0.133730:0.667251:0.137761:0.667251:0.137761:0.651538:0.133730:0.651538:0.000000
f:@0.138792:0.667251:0.143486:0.667251:0.143486:0.650844:0.138792:0.650844:0.000000
( ) :@0.144518:0.667465:0.171692:0.667465:0.171692:0.651416:0.144518:0.651416:0.000000:0.000000:0.000000:0.000000
1:@0.151011:0.667251:0.159993:0.667251:0.159993:0.651538:0.151011:0.651538:0.000000
 :@0.192653:0.667465:0.196836:0.667465:0.196836:0.651416:0.192653:0.651416:0.000000
 :@0.251974:0.667465:0.256158:0.667465:0.256158:0.651416:0.251974:0.651416:0.000000
e.:@0.314057:0.667251:0.327034:0.667251:0.327034:0.651538:0.314057:0.651538:0.000000:0.000000
      :@0.328050:0.667465:0.353151:0.667465:0.353151:0.651416:0.328050:0.651416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.361330:0.674530:0.366752:0.674530:0.366752:0.662598:0.361330:0.662598:0.000000
0:@0.377234:0.674530:0.383767:0.674530:0.383767:0.663103:0.377234:0.663103:0.000000
lim :@0.359859:0.667056:0.389611:0.667056:0.389611:0.651344:0.359859:0.651344:0.000000:0.000000:0.000000:0.000000
f x:@0.390176:0.667056:0.409745:0.667056:0.409745:0.650650:0.390176:0.650650:0.000000:0.000000:0.000000
( ):@0.395857:0.667271:0.416306:0.667271:0.416306:0.651221:0.395857:0.651221:0.000000:0.000000:0.000000
c.  lim :@0.104633:0.694614:0.164586:0.694420:0.164586:0.678707:0.104633:0.678901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.134834:0.704223:0.140256:0.704223:0.140256:0.692291:0.134834:0.692291:0.000000
0:@0.150738:0.704223:0.157271:0.704223:0.157271:0.692796:0.150738:0.692796:0.000000
–:@0.156007:0.700060:0.159910:0.700060:0.159910:0.692575:0.156007:0.692575:0.000000
f x:@0.165151:0.694420:0.184719:0.694420:0.184719:0.678014:0.165151:0.678014:0.000000:0.000000:0.000000
( ):@0.170832:0.694634:0.191282:0.694634:0.191282:0.678585:0.170832:0.678585:0.000000:0.000000:0.000000
0:@0.266878:0.805879:0.271879:0.805879:0.271879:0.797129:0.266878:0.797129:0.000000
-1:@0.263823:0.817106:0.271879:0.817106:0.271879:0.808357:0.263823:0.808357:0.000000:0.000000
-2:@0.263823:0.834080:0.271879:0.834080:0.271879:0.825330:0.263823:0.825330:0.000000:0.000000
-3:@0.263823:0.851910:0.271879:0.851910:0.271879:0.843161:0.263823:0.843161:0.000000:0.000000
-4:@0.263823:0.869084:0.271879:0.869084:0.271879:0.860335:0.263823:0.860335:0.000000:0.000000
-5:@0.263823:0.886057:0.271879:0.886057:0.271879:0.877308:0.263823:0.877308:0.000000:0.000000
5:@0.266878:0.716160:0.271879:0.716160:0.271879:0.707411:0.266878:0.707411:0.000000
4:@0.266878:0.733146:0.271879:0.733146:0.271879:0.724397:0.266878:0.724397:0.000000
3:@0.266878:0.749610:0.271879:0.749610:0.271879:0.740861:0.266878:0.740861:0.000000
2:@0.266878:0.767386:0.271879:0.767386:0.271879:0.758637:0.266878:0.758637:0.000000
1:@0.266878:0.783803:0.271879:0.783803:0.271879:0.775054:0.266878:0.775054:0.000000
1:@0.295761:0.805880:0.300762:0.805880:0.300762:0.797131:0.295761:0.797131:0.000000
2:@0.318822:0.805880:0.323824:0.805880:0.323824:0.797131:0.318822:0.797131:0.000000
3:@0.341084:0.805880:0.346086:0.805880:0.346086:0.797131:0.341084:0.797131:0.000000
4:@0.363448:0.805880:0.368450:0.805880:0.368450:0.797131:0.363448:0.797131:0.000000
5:@0.385505:0.805880:0.390507:0.805880:0.390507:0.797131:0.385505:0.797131:0.000000
-3:@0.204479:0.805880:0.212535:0.805880:0.212535:0.797131:0.204479:0.797131:0.000000:0.000000
-4:@0.182873:0.805880:0.190929:0.805880:0.190929:0.797131:0.182873:0.797131:0.000000:0.000000
-5:@0.161581:0.805879:0.169638:0.805879:0.169638:0.797129:0.161581:0.797129:0.000000:0.000000
-2:@0.226887:0.805879:0.234943:0.805879:0.234943:0.797129:0.226887:0.797129:0.000000:0.000000
-1:@0.249446:0.805879:0.257502:0.805879:0.257502:0.797129:0.249446:0.797129:0.000000:0.000000
7.  En la gráfica anterior, explica si existe el límite de la :@0.073089:0.917734:0.489816:0.917734:0.489816:0.901065:0.073089:0.901065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función si x es un número entero cualquiera. :@0.103214:0.934376:0.442475:0.934376:0.442475:0.917707:0.103214:0.917707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.170803:0.343191:0.177336:0.343191:0.177336:0.331764:0.170803:0.331764:0.000000
∞:@0.424104:0.344152:0.435265:0.344152:0.435265:0.328103:0.424104:0.328103:0.000000
∞:@0.424104:0.640414:0.435265:0.640414:0.435265:0.624365:0.424104:0.624365:0.000000
0:@0.170803:0.370709:0.177336:0.370709:0.177336:0.359282:0.170803:0.359282:0.000000
No existe:@0.424101:0.370709:0.472838:0.370709:0.472838:0.359282:0.424101:0.359282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.196413:0.398224:0.202946:0.398224:0.202946:0.386797:0.196413:0.386797:0.000000
No está definido:@0.170803:0.637665:0.257686:0.637665:0.257686:0.626237:0.170803:0.626237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.170803:0.665179:0.177336:0.665179:0.177336:0.653752:0.170803:0.653752:0.000000
–∞:@0.196420:0.694381:0.215864:0.694381:0.215864:0.678331:0.196420:0.678331:0.000000:0.000000
No existe:@0.424104:0.665188:0.472841:0.665188:0.472841:0.653761:0.424104:0.653761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No existe, los límites unilaterales en los valores enteros son :@0.102974:0.947877:0.446821:0.947877:0.446821:0.936450:0.102974:0.936450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distintos siempre.:@0.102974:0.957963:0.195463:0.957963:0.195463:0.946536:0.102974:0.946536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000