﻿95:@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
Límites en el infinito:@0.084829:0.143586:0.237950:0.143586:0.237950:0.126917:0.084829:0.126917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea f una función definida en un intervalo  , :@0.084829:0.164811:0.421369:0.164811:0.421369:0.149098:0.084829:0.149098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ∞):@0.399188:0.165393:0.440291:0.165393:0.440291:0.147739:0.399188:0.147739:0.000000:0.000000:0.000000:0.000000
c:@0.405336:0.164811:0.412993:0.164811:0.412993:0.148405:0.405336:0.148405:0.000000
, entonces definimos el límite en el :@0.440310:0.164811:0.701963:0.164811:0.701963:0.149098:0.440310:0.149098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinito como lim :@0.084847:0.182465:0.220302:0.182250:0.220302:0.166537:0.084847:0.166752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.190354:0.191176:0.195775:0.191176:0.195775:0.179244:0.190354:0.179244:0.000000
∞:@0.206525:0.191599:0.215454:0.191599:0.215454:0.178760:0.206525:0.178760:0.000000
f x:@0.221296:0.182250:0.241618:0.182250:0.241618:0.165843:0.221296:0.165843:0.000000:0.000000:0.000000
( )=:@0.227021:0.182832:0.266468:0.183040:0.266468:0.165386:0.227021:0.165178:0.000000:0.000000:0.000000:0.000000
L:@0.266578:0.182458:0.274199:0.182458:0.274199:0.166051:0.266578:0.166051:0.000000
, que nos indica que los valores de :@0.275377:0.182458:0.539156:0.182458:0.539156:0.166745:0.275377:0.166745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.540312:0.182458:0.559879:0.182458:0.559879:0.166051:0.540312:0.166051:0.000000:0.000000:0.000000
( ):@0.546184:0.183040:0.567187:0.183040:0.567187:0.165386:0.546184:0.165386:0.000000:0.000000:0.000000
 se pueden hacer :@0.567297:0.182458:0.701707:0.182458:0.701707:0.166745:0.567297:0.166745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arbitrariamente cercanos a   si   toma valores suficientemente grandes.:@0.084788:0.200112:0.602579:0.200112:0.602579:0.184399:0.084788:0.184399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.282077:0.200112:0.289698:0.200112:0.289698:0.183706:0.282077:0.183706:0.000000
x:@0.309172:0.200112:0.316627:0.200112:0.316627:0.183706:0.309172:0.183706:0.000000
Sea   una función definida en un intervalo :@0.084770:0.228486:0.394807:0.228486:0.394807:0.212773:0.084770:0.212773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.114737:0.228486:0.119430:0.228486:0.119430:0.212080:0.114737:0.212080:0.000000
(–∞ ):@0.394895:0.229069:0.444466:0.229069:0.444466:0.211414:0.394895:0.211414:0.000000:0.000000:0.000000:0.000000:0.000000
,  , entonces definimos el límite en el :@0.422230:0.228486:0.701913:0.228486:0.701913:0.212773:0.422230:0.212773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.429648:0.228486:0.437305:0.228486:0.437305:0.212080:0.429648:0.212080:0.000000
infinito negativo como  lim :@0.084751:0.246140:0.286915:0.245922:0.286915:0.230210:0.084751:0.230428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.253408:0.254848:0.258830:0.254848:0.258830:0.242917:0.253408:0.242917:0.000000
–∞:@0.269580:0.255272:0.285939:0.255272:0.285939:0.242432:0.269580:0.242432:0.000000:0.000000
f x:@0.287909:0.245922:0.308230:0.245922:0.308230:0.229516:0.287909:0.229516:0.000000:0.000000:0.000000
( )=:@0.293633:0.246505:0.332914:0.246713:0.332914:0.229058:0.293633:0.228850:0.000000:0.000000:0.000000:0.000000
L:@0.332822:0.246130:0.340443:0.246130:0.340443:0.229724:0.332822:0.229724:0.000000
, que nos indica que los valores de :@0.341474:0.246130:0.591584:0.246130:0.591584:0.230418:0.341474:0.230418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.591131:0.246130:0.610349:0.246130:0.610349:0.229724:0.591131:0.229724:0.000000:0.000000:0.000000
( ):@0.596856:0.246713:0.617509:0.246713:0.617509:0.229058:0.596856:0.229058:0.000000:0.000000:0.000000
 se pueden :@0.617417:0.246130:0.701833:0.246130:0.701833:0.230418:0.617417:0.230418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacer arbitrariamente cercanos a   si   toma valores negativos suficientemente :@0.084785:0.263784:0.701958:0.263784:0.701958:0.248072:0.084785:0.248072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.343940:0.263784:0.351561:0.263784:0.351561:0.247378:0.343940:0.247378:0.000000
x:@0.375951:0.263784:0.383406:0.263784:0.383406:0.247378:0.375951:0.247378:0.000000
alejados de 0.:@0.084766:0.281439:0.183153:0.281439:0.183153:0.265726:0.084766:0.265726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.073022:0.321767:0.148805:0.321767:0.148805:0.305098:0.073022:0.305098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148768:0.321767:0.152671:0.321767:0.152671:0.305098:0.148768:0.305098:0.000000
Evaluemos el límite lim:@0.073022:0.355495:0.241983:0.355964:0.241983:0.340251:0.073022:0.339782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.217096:0.363033:0.222518:0.363033:0.222518:0.351101:0.217096:0.351101:0.000000
∞:@0.233268:0.363456:0.242197:0.363456:0.242197:0.350617:0.233268:0.350617:0.000000
x:@0.252237:0.350651:0.259692:0.350651:0.259692:0.334245:0.252237:0.334245:0.000000
3:@0.260731:0.344587:0.265968:0.344587:0.265968:0.335427:0.260731:0.335427:0.000000
–:@0.266565:0.351233:0.275768:0.351233:0.275768:0.333579:0.266565:0.333579:0.000000
1:@0.276781:0.350651:0.285763:0.350651:0.285763:0.334938:0.276781:0.334938:0.000000
x:@0.249170:0.366197:0.256625:0.366197:0.256625:0.349791:0.249170:0.349791:0.000000
3:@0.257666:0.360137:0.262902:0.360137:0.262902:0.350977:0.257666:0.350977:0.000000
+:@0.263501:0.366784:0.278834:0.366784:0.278834:0.349129:0.263501:0.349129:0.000000
1:@0.279846:0.366201:0.288829:0.366201:0.288829:0.350488:0.279846:0.350488:0.000000
.:@0.290265:0.355495:0.293468:0.355495:0.293468:0.339782:0.290265:0.339782:0.000000
Solución: :@0.073096:0.409817:0.146795:0.409817:0.146795:0.393147:0.073096:0.393147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.146673:0.416100:0.152095:0.416100:0.152095:0.404168:0.146673:0.404168:0.000000
∞:@0.162845:0.416524:0.171774:0.416524:0.171774:0.403684:0.162845:0.403684:0.000000
lim:@0.147033:0.408915:0.171920:0.408915:0.171920:0.393202:0.147033:0.393202:0.000000:0.000000:0.000000
x:@0.182176:0.403602:0.189631:0.403602:0.189631:0.387196:0.182176:0.387196:0.000000
3:@0.190668:0.397538:0.195905:0.397538:0.195905:0.388378:0.190668:0.388378:0.000000
–:@0.196502:0.404185:0.205705:0.404185:0.205705:0.386531:0.196502:0.386531:0.000000
1:@0.206718:0.403602:0.215700:0.403602:0.215700:0.387890:0.206718:0.387890:0.000000
x:@0.179107:0.419149:0.186562:0.419149:0.186562:0.402742:0.179107:0.402742:0.000000
3:@0.187603:0.413089:0.192839:0.413089:0.192839:0.403928:0.187603:0.403928:0.000000
+:@0.193438:0.419735:0.208771:0.419735:0.208771:0.402081:0.193438:0.402081:0.000000
1:@0.209783:0.419152:0.218766:0.419152:0.218766:0.403440:0.209783:0.403440:0.000000
=:@0.221306:0.410388:0.236639:0.410388:0.236639:0.392733:0.221306:0.392733:0.000000
x:@0.237654:0.414762:0.243075:0.414762:0.243075:0.402831:0.237654:0.402831:0.000000
∞:@0.253825:0.415186:0.262754:0.415186:0.262754:0.402347:0.253825:0.402347:0.000000
lim:@0.237654:0.407647:0.262540:0.407647:0.262540:0.391934:0.237654:0.391934:0.000000:0.000000:0.000000
x:@0.287982:0.388857:0.295437:0.388857:0.295437:0.372451:0.287982:0.372451:0.000000
3:@0.296475:0.382793:0.301712:0.382793:0.301712:0.373632:0.296475:0.373632:0.000000
x:@0.287982:0.402832:0.295437:0.402832:0.295437:0.386426:0.287982:0.386426:0.000000
3:@0.296475:0.396768:0.301712:0.396768:0.301712:0.387608:0.296475:0.387608:0.000000
–:@0.305503:0.395386:0.314706:0.395386:0.314706:0.377732:0.305503:0.377732:0.000000
1:@0.320714:0.388973:0.329697:0.388973:0.329697:0.373260:0.320714:0.373260:0.000000
x:@0.318339:0.402952:0.325794:0.402952:0.325794:0.386546:0.318339:0.386546:0.000000
3:@0.326833:0.396884:0.332070:0.396884:0.332070:0.387724:0.326833:0.387724:0.000000
x:@0.284917:0.421287:0.292372:0.421287:0.292372:0.404881:0.284917:0.404881:0.000000
3:@0.293411:0.415223:0.298648:0.415223:0.298648:0.406062:0.293411:0.406062:0.000000
x:@0.284917:0.435262:0.292372:0.435262:0.292372:0.418856:0.284917:0.418856:0.000000
3:@0.293411:0.429198:0.298648:0.429198:0.298648:0.420038:0.293411:0.420038:0.000000
+:@0.302439:0.427816:0.317772:0.427816:0.317772:0.410162:0.302439:0.410162:0.000000
1:@0.323779:0.421403:0.332762:0.421403:0.332762:0.405690:0.323779:0.405690:0.000000
x:@0.321405:0.435382:0.328860:0.435382:0.328860:0.418976:0.321405:0.418976:0.000000
3:@0.329899:0.429314:0.335136:0.429314:0.335136:0.420154:0.329899:0.420154:0.000000
=:@0.353959:0.410389:0.369292:0.410389:0.369292:0.392735:0.353959:0.392735:0.000000
x:@0.370305:0.417334:0.375726:0.417334:0.375726:0.405403:0.370305:0.405403:0.000000
∞:@0.386476:0.417758:0.395405:0.417758:0.395405:0.404919:0.386476:0.404919:0.000000
lim:@0.370305:0.410217:0.395191:0.410217:0.395191:0.394505:0.370305:0.394505:0.000000:0.000000:0.000000
1:@0.418552:0.394152:0.427534:0.394152:0.427534:0.378439:0.418552:0.378439:0.000000
–:@0.429302:0.394734:0.438505:0.394734:0.438505:0.377080:0.429302:0.377080:0.000000
1:@0.445242:0.388321:0.454225:0.388321:0.454225:0.372608:0.445242:0.372608:0.000000
x:@0.442868:0.402300:0.450323:0.402300:0.450323:0.385894:0.442868:0.385894:0.000000
3:@0.451362:0.396231:0.456599:0.396231:0.456599:0.387071:0.451362:0.387071:0.000000
1:@0.416222:0.426465:0.425205:0.426465:0.425205:0.410752:0.416222:0.410752:0.000000
+:@0.426236:0.427047:0.441569:0.427047:0.441569:0.409393:0.426236:0.409393:0.000000
1:@0.447570:0.420635:0.456553:0.420635:0.456553:0.404922:0.447570:0.404922:0.000000
x:@0.445195:0.434614:0.452650:0.434614:0.452650:0.418208:0.445195:0.418208:0.000000
3:@0.453689:0.428545:0.458926:0.428545:0.458926:0.419385:0.453689:0.419385:0.000000
=:@0.478407:0.410389:0.493740:0.410389:0.493740:0.392735:0.478407:0.392735:0.000000
1 0:@0.502599:0.403541:0.529603:0.403541:0.529603:0.387828:0.502599:0.387828:0.000000:0.000000:0.000000
–:@0.511508:0.404123:0.520712:0.404123:0.520712:0.386469:0.511508:0.386469:0.000000
1 0:@0.499544:0.420723:0.532677:0.420723:0.532677:0.405011:0.499544:0.405011:0.000000:0.000000:0.000000
+:@0.508453:0.421306:0.523786:0.421306:0.523786:0.403651:0.508453:0.403651:0.000000
=:@0.539211:0.410391:0.554544:0.410391:0.554544:0.392737:0.539211:0.392737:0.000000
1.:@0.555557:0.409809:0.568773:0.409809:0.568773:0.394096:0.555557:0.394096:0.000000:0.000000
Ejemplo 2:@0.073103:0.462189:0.148885:0.462189:0.148885:0.445520:0.073103:0.445520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluemos el límite  lim:@0.073103:0.496291:0.245933:0.496384:0.245933:0.480672:0.073103:0.480578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.221047:0.503453:0.226469:0.503453:0.226469:0.491522:0.221047:0.491522:0.000000
∞:@0.237218:0.503877:0.246148:0.503877:0.246148:0.491037:0.237218:0.491037:0.000000
√:@0.255706:0.491654:0.274113:0.491654:0.274113:0.474000:0.255706:0.474000:0.000000
5:@0.275126:0.491072:0.284108:0.491072:0.284108:0.475359:0.275126:0.475359:0.000000
x:@0.285139:0.491072:0.292594:0.491072:0.292594:0.474665:0.285139:0.474665:0.000000
2:@0.293625:0.485008:0.298862:0.485008:0.298862:0.475847:0.293625:0.475847:0.000000
–:@0.299458:0.491654:0.308662:0.491654:0.308662:0.474000:0.299458:0.474000:0.000000
7:@0.309674:0.491072:0.318657:0.491072:0.318657:0.475359:0.309674:0.475359:0.000000
2:@0.262349:0.506618:0.271332:0.506618:0.271332:0.490905:0.262349:0.490905:0.000000
x:@0.272363:0.506618:0.279818:0.506618:0.279818:0.490212:0.272363:0.490212:0.000000
2:@0.280850:0.500558:0.286087:0.500558:0.286087:0.491397:0.280850:0.491397:0.000000
+:@0.286684:0.507204:0.302017:0.507204:0.302017:0.489550:0.286684:0.489550:0.000000
5:@0.303029:0.506622:0.312012:0.506622:0.312012:0.490909:0.303029:0.490909:0.000000
Entonces::@0.073089:0.534376:0.143379:0.534376:0.143379:0.518663:0.073089:0.518663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  lim:@0.073089:0.583538:0.104871:0.583637:0.104871:0.567924:0.073089:0.567826:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.079985:0.590706:0.085406:0.590706:0.085406:0.578774:0.079985:0.578774:0.000000
∞:@0.096156:0.591129:0.105086:0.591129:0.105086:0.578290:0.096156:0.578290:0.000000
√:@0.114643:0.578908:0.133051:0.578908:0.133051:0.561253:0.114643:0.561253:0.000000
5:@0.134063:0.578325:0.143046:0.578325:0.143046:0.562613:0.134063:0.562613:0.000000
x:@0.144077:0.578325:0.151532:0.578325:0.151532:0.561919:0.144077:0.561919:0.000000
2:@0.152564:0.572261:0.157800:0.572261:0.157800:0.563101:0.152564:0.563101:0.000000
–:@0.158397:0.578908:0.167601:0.578908:0.167601:0.561253:0.158397:0.561253:0.000000
7:@0.168613:0.578325:0.177596:0.578325:0.177596:0.562613:0.168613:0.562613:0.000000
2:@0.121288:0.593871:0.130271:0.593871:0.130271:0.578159:0.121288:0.578159:0.000000
x:@0.131301:0.593871:0.138756:0.593871:0.138756:0.577465:0.131301:0.577465:0.000000
2:@0.139789:0.587810:0.145026:0.587810:0.145026:0.578650:0.139789:0.578650:0.000000
+:@0.145622:0.594456:0.160956:0.594456:0.160956:0.576802:0.145622:0.576802:0.000000
5:@0.161968:0.593874:0.170951:0.593874:0.170951:0.578161:0.161968:0.578161:0.000000
=:@0.184703:0.584126:0.200036:0.584126:0.200036:0.566472:0.184703:0.566472:0.000000
x:@0.202889:0.589938:0.208311:0.589938:0.208311:0.578006:0.202889:0.578006:0.000000
∞:@0.219061:0.590362:0.227990:0.590362:0.227990:0.577522:0.219061:0.577522:0.000000
lim:@0.202889:0.582869:0.227776:0.582869:0.227776:0.567156:0.202889:0.567156:0.000000:0.000000:0.000000
√:@0.244591:0.563844:0.262999:0.563844:0.262999:0.546190:0.244591:0.546190:0.000000
5:@0.264011:0.563262:0.272994:0.563262:0.272994:0.547549:0.264011:0.547549:0.000000
x:@0.274025:0.563262:0.281480:0.563262:0.281480:0.546856:0.274025:0.546856:0.000000
2:@0.282510:0.557198:0.287747:0.557198:0.287747:0.548037:0.282510:0.548037:0.000000
–:@0.288345:0.563844:0.297549:0.563844:0.297549:0.546190:0.288345:0.546190:0.000000
7:@0.298561:0.563262:0.307544:0.563262:0.307544:0.547549:0.298561:0.547549:0.000000
x:@0.269202:0.579030:0.276657:0.579030:0.276657:0.562624:0.269202:0.562624:0.000000
2:@0.277696:0.572960:0.282933:0.572960:0.282933:0.563799:0.277696:0.563799:0.000000
2:@0.251308:0.596539:0.260291:0.596539:0.260291:0.580826:0.251308:0.580826:0.000000
x:@0.261322:0.596539:0.268777:0.596539:0.268777:0.580133:0.261322:0.580133:0.000000
2:@0.269808:0.590475:0.275045:0.590475:0.275045:0.581315:0.269808:0.581315:0.000000
+:@0.275641:0.597122:0.290974:0.597122:0.290974:0.579467:0.275641:0.579467:0.000000
5:@0.291987:0.596539:0.300969:0.596539:0.300969:0.580826:0.291987:0.580826:0.000000
x:@0.269272:0.612307:0.276727:0.612307:0.276727:0.595901:0.269272:0.595901:0.000000
2:@0.277768:0.606237:0.283005:0.606237:0.283005:0.597077:0.277768:0.597077:0.000000
=:@0.321654:0.584126:0.336987:0.584126:0.336987:0.566472:0.321654:0.566472:0.000000
x:@0.339841:0.590053:0.345262:0.590053:0.345262:0.578121:0.339841:0.578121:0.000000
∞:@0.356012:0.590476:0.364941:0.590476:0.364941:0.577637:0.356012:0.577637:0.000000
lim:@0.339841:0.582984:0.364727:0.582984:0.364727:0.567271:0.339841:0.567271:0.000000:0.000000:0.000000
5:@0.405534:0.563377:0.414517:0.563377:0.414517:0.547664:0.405534:0.547664:0.000000
x:@0.415548:0.563377:0.423003:0.563377:0.423003:0.546970:0.415548:0.546970:0.000000
2:@0.424034:0.557313:0.429271:0.557313:0.429271:0.548152:0.424034:0.548152:0.000000
–:@0.429867:0.563959:0.439071:0.563959:0.439071:0.546305:0.429867:0.546305:0.000000
7:@0.440083:0.563377:0.449066:0.563377:0.449066:0.547664:0.440083:0.547664:0.000000
x:@0.420443:0.579145:0.427898:0.579145:0.427898:0.562739:0.420443:0.562739:0.000000
4:@0.428928:0.573074:0.434165:0.573074:0.434165:0.563914:0.428928:0.563914:0.000000
2:@0.394753:0.597254:0.401286:0.597254:0.401286:0.585827:0.394753:0.585827:0.000000
+:@0.401232:0.597678:0.412384:0.597678:0.412384:0.584838:0.401232:0.584838:0.000000
5:@0.417307:0.593449:0.426289:0.593449:0.426289:0.577736:0.417307:0.577736:0.000000
x:@0.414932:0.607428:0.422387:0.607428:0.422387:0.591022:0.414932:0.591022:0.000000
2:@0.423426:0.601360:0.428663:0.601360:0.428663:0.592200:0.423426:0.592200:0.000000
√:@0.372873:0.579264:0.391280:0.579264:0.391280:0.561610:0.372873:0.561610:0.000000
=:@0.458758:0.584126:0.474091:0.584126:0.474091:0.566472:0.458758:0.566472:0.000000
x:@0.476944:0.590232:0.482366:0.590232:0.482366:0.578300:0.476944:0.578300:0.000000
∞:@0.493116:0.590655:0.502045:0.590655:0.502045:0.577816:0.493116:0.577816:0.000000
lim:@0.476944:0.583163:0.501831:0.583163:0.501831:0.567450:0.476944:0.567450:0.000000:0.000000:0.000000
     :@0.508689:0.579435:0.532968:0.579435:0.532968:0.563722:0.508689:0.563722:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.539077:0.565176:0.548060:0.565176:0.548060:0.549463:0.539077:0.549463:0.000000
x:@0.536703:0.579155:0.544158:0.579155:0.544158:0.562749:0.536703:0.562749:0.000000
2:@0.545197:0.573087:0.550434:0.573087:0.550434:0.563927:0.545197:0.563927:0.000000
–:@0.554196:0.569931:0.563400:0.569931:0.563400:0.552277:0.554196:0.552277:0.000000
7:@0.569672:0.564819:0.578655:0.564819:0.578655:0.549106:0.569672:0.549106:0.000000
x:@0.567297:0.578798:0.574752:0.578798:0.574752:0.562392:0.567297:0.562392:0.000000
4:@0.575791:0.572730:0.581028:0.572730:0.581028:0.563570:0.575791:0.563570:0.000000
2:@0.528299:0.597371:0.534832:0.597371:0.534832:0.585944:0.528299:0.585944:0.000000
+:@0.534778:0.597795:0.545930:0.597795:0.545930:0.584955:0.534778:0.584955:0.000000
5:@0.550853:0.593566:0.559836:0.593566:0.559836:0.577854:0.550853:0.577854:0.000000
x:@0.548478:0.607545:0.555933:0.607545:0.555933:0.591139:0.548478:0.591139:0.000000
2:@0.556973:0.601478:0.562209:0.601478:0.562209:0.592317:0.556973:0.592317:0.000000
√:@0.507604:0.580364:0.526012:0.580364:0.526012:0.562710:0.507604:0.562710:0.000000
=:@0.589846:0.584126:0.605179:0.584126:0.605179:0.566472:0.589846:0.566472:0.000000
0:@0.610655:0.575304:0.619638:0.575304:0.619638:0.559592:0.610655:0.559592:0.000000
2:@0.610655:0.591073:0.619638:0.591073:0.619638:0.575360:0.610655:0.575360:0.000000
=:@0.625307:0.584138:0.640640:0.584138:0.640640:0.566484:0.625307:0.566484:0.000000
0.:@0.643493:0.583556:0.658550:0.583556:0.658550:0.567843:0.643493:0.567843:0.000000:0.000000
Ejemplo 3:@0.073089:0.635936:0.148872:0.635936:0.148872:0.619267:0.073089:0.619267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluemos el límite  lim :@0.073089:0.663298:0.253835:0.663669:0.253835:0.647956:0.073089:0.647585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.221047:0.670215:0.226469:0.670215:0.226469:0.658283:0.221047:0.658283:0.000000
–∞:@0.237167:0.670638:0.253485:0.670638:0.253485:0.657799:0.237167:0.657799:0.000000:0.000000
(√:@0.254829:0.664251:0.280378:0.664251:0.280378:0.646597:0.254829:0.646597:0.000000:0.000000
x:@0.281391:0.663669:0.288846:0.663669:0.288846:0.647263:0.281391:0.647263:0.000000
2:@0.289893:0.657605:0.295130:0.657605:0.295130:0.648444:0.289893:0.648444:0.000000
+2:@0.295727:0.663669:0.316711:0.663669:0.316711:0.647956:0.295727:0.647956:0.000000:0.000000
x:@0.317723:0.663669:0.325178:0.663669:0.325178:0.647263:0.317723:0.647263:0.000000
–√:@0.326209:0.664251:0.354832:0.664251:0.354832:0.646597:0.326209:0.646597:0.000000:0.000000
x:@0.355845:0.663669:0.363300:0.663669:0.363300:0.647263:0.355845:0.647263:0.000000
2:@0.364351:0.657605:0.369588:0.657605:0.369588:0.648444:0.364351:0.648444:0.000000
+2 .:@0.370184:0.663669:0.412429:0.663287:0.412429:0.647574:0.370184:0.647956:0.000000:0.000000:0.000000:0.000000
x:@0.392181:0.663669:0.399636:0.663669:0.399636:0.647263:0.392181:0.647263:0.000000
):@0.400667:0.664251:0.406796:0.664251:0.406796:0.646597:0.400667:0.646597:0.000000
Solución:@0.073091:0.704947:0.139225:0.704947:0.139225:0.688277:0.073091:0.688277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.073089:0.746096:0.078511:0.746096:0.078511:0.734165:0.073089:0.734165:0.000000
–∞:@0.089261:0.746520:0.105620:0.746520:0.105620:0.733680:0.089261:0.733680:0.000000:0.000000
lim :@0.076409:0.739551:0.106358:0.739551:0.106358:0.723838:0.076409:0.723838:0.000000:0.000000:0.000000:0.000000
(√:@0.107352:0.740133:0.132901:0.740133:0.132901:0.722479:0.107352:0.722479:0.000000:0.000000
x:@0.133913:0.739551:0.141368:0.739551:0.141368:0.723144:0.133913:0.723144:0.000000
2:@0.142416:0.733487:0.147653:0.733487:0.147653:0.724326:0.142416:0.724326:0.000000
+2:@0.148250:0.739551:0.169234:0.739551:0.169234:0.723838:0.148250:0.723838:0.000000:0.000000
x:@0.170246:0.739551:0.177701:0.739551:0.177701:0.723144:0.170246:0.723144:0.000000
–√:@0.178732:0.740133:0.207355:0.740133:0.207355:0.722479:0.178732:0.722479:0.000000:0.000000
x:@0.208368:0.739551:0.215823:0.739551:0.215823:0.723144:0.208368:0.723144:0.000000
2:@0.216872:0.733487:0.222109:0.733487:0.222109:0.724326:0.216872:0.724326:0.000000
+2:@0.222707:0.739551:0.243691:0.739551:0.243691:0.723838:0.222707:0.723838:0.000000:0.000000
x:@0.244704:0.739551:0.252158:0.739551:0.252158:0.723144:0.244704:0.723144:0.000000
)=:@0.253189:0.740133:0.277082:0.739750:0.277082:0.722095:0.253189:0.722479:0.000000:0.000000
x:@0.276990:0.746212:0.282412:0.746212:0.282412:0.734281:0.276990:0.734281:0.000000
–∞:@0.293063:0.746636:0.309355:0.746636:0.309355:0.733796:0.293063:0.733796:0.000000:0.000000
lim:@0.280547:0.739143:0.305434:0.739143:0.305434:0.723431:0.280547:0.723431:0.000000:0.000000:0.000000
(√ +:@0.313478:0.734413:0.369700:0.734413:0.369700:0.716759:0.313478:0.716759:0.000000:0.000000:0.000000:0.000000
x:@0.340040:0.733831:0.347495:0.733831:0.347495:0.717424:0.340040:0.717424:0.000000
2:@0.348532:0.727767:0.353769:0.727767:0.353769:0.718606:0.348532:0.718606:0.000000
2:@0.370713:0.733831:0.379696:0.733831:0.379696:0.718118:0.370713:0.718118:0.000000
x:@0.380726:0.733831:0.388181:0.733831:0.388181:0.717424:0.380726:0.717424:0.000000
–√ + )  (√ +:@0.389212:0.734413:0.532606:0.734413:0.532606:0.716759:0.389212:0.716759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.418848:0.733831:0.426303:0.733831:0.426303:0.717424:0.418848:0.717424:0.000000
2:@0.427340:0.727767:0.432577:0.727767:0.432577:0.718606:0.427340:0.718606:0.000000
x:@0.449521:0.733831:0.456976:0.733831:0.456976:0.717424:0.449521:0.717424:0.000000
x:@0.500914:0.733831:0.508369:0.733831:0.508369:0.717424:0.500914:0.717424:0.000000
2:@0.511438:0.727767:0.516675:0.727767:0.516675:0.718606:0.511438:0.718606:0.000000
2:@0.533619:0.733831:0.542601:0.733831:0.542601:0.718118:0.533619:0.718118:0.000000
x:@0.543632:0.733831:0.551087:0.733831:0.551087:0.717424:0.543632:0.717424:0.000000
+√ + ):@0.552118:0.734413:0.633170:0.734413:0.633170:0.716759:0.552118:0.716759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.587883:0.733831:0.595338:0.733831:0.595338:0.717424:0.587883:0.717424:0.000000
2:@0.596376:0.727767:0.601613:0.727767:0.601613:0.718606:0.596376:0.718606:0.000000
x:@0.618555:0.733831:0.626010:0.733831:0.626010:0.717424:0.618555:0.717424:0.000000
 :@0.393821:0.754577:0.397852:0.754577:0.397852:0.738865:0.393821:0.738865:0.000000
(√ +:@0.398883:0.755160:0.455108:0.755166:0.455108:0.737512:0.398883:0.737506:0.000000:0.000000:0.000000:0.000000
x:@0.425444:0.754577:0.432899:0.754577:0.432899:0.738171:0.425444:0.738171:0.000000
2:@0.433940:0.748520:0.439177:0.748520:0.439177:0.739359:0.433940:0.739359:0.000000
2:@0.456121:0.754584:0.465104:0.754584:0.465104:0.738871:0.456121:0.738871:0.000000
x:@0.466134:0.754584:0.473589:0.754584:0.473589:0.738178:0.466134:0.738178:0.000000
+√ + ):@0.474620:0.755166:0.555672:0.755166:0.555672:0.737512:0.474620:0.737512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.510385:0.754584:0.517840:0.754584:0.517840:0.738178:0.510385:0.738178:0.000000
2:@0.518878:0.748520:0.524115:0.748520:0.524115:0.739359:0.518878:0.739359:0.000000
x:@0.541057:0.754584:0.548512:0.754584:0.548512:0.738178:0.541057:0.738178:0.000000
=:@0.073089:0.801308:0.088422:0.801308:0.088422:0.783654:0.073089:0.783654:0.000000
x:@0.088330:0.807445:0.093752:0.807445:0.093752:0.795514:0.088330:0.795514:0.000000
–∞:@0.104402:0.807869:0.120694:0.807869:0.120694:0.795030:0.104402:0.795030:0.000000:0.000000
lim:@0.091888:0.800376:0.116774:0.800376:0.116774:0.784664:0.091888:0.784664:0.000000:0.000000:0.000000
x:@0.150729:0.793070:0.158184:0.793070:0.158184:0.776664:0.150729:0.776664:0.000000
2:@0.159224:0.787007:0.164460:0.787007:0.164460:0.777846:0.159224:0.777846:0.000000
+:@0.165057:0.793653:0.180390:0.793653:0.180390:0.775999:0.165057:0.775999:0.000000
2:@0.181403:0.793070:0.190385:0.793070:0.190385:0.777358:0.181403:0.777358:0.000000
x x:@0.191416:0.793070:0.224715:0.793070:0.224715:0.776664:0.191416:0.776664:0.000000:0.000000:0.000000
–( + ):@0.199902:0.793653:0.262549:0.793653:0.262549:0.775999:0.199902:0.775999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.225754:0.787007:0.230991:0.787007:0.230991:0.777846:0.225754:0.777846:0.000000
x:@0.247933:0.793070:0.255388:0.793070:0.255388:0.776664:0.247933:0.776664:0.000000
(√ +:@0.128231:0.814400:0.184468:0.814405:0.184468:0.796751:0.128231:0.796745:0.000000:0.000000:0.000000:0.000000
x:@0.154792:0.813817:0.162247:0.813817:0.162247:0.797411:0.154792:0.797411:0.000000
2:@0.163300:0.807758:0.168537:0.807758:0.168537:0.798598:0.163300:0.798598:0.000000
2:@0.185481:0.813822:0.194463:0.813822:0.194463:0.798110:0.185481:0.798110:0.000000
x:@0.195494:0.813822:0.202949:0.813822:0.202949:0.797416:0.195494:0.797416:0.000000
+√ + ):@0.203980:0.814405:0.285032:0.814405:0.285032:0.796751:0.203980:0.796751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.239745:0.813822:0.247200:0.813822:0.247200:0.797416:0.239745:0.797416:0.000000
2:@0.248238:0.807758:0.253475:0.807758:0.253475:0.798598:0.248238:0.798598:0.000000
x:@0.270417:0.813822:0.277872:0.813822:0.277872:0.797416:0.270417:0.797416:0.000000
=:@0.289299:0.801308:0.304633:0.801308:0.304633:0.783654:0.289299:0.783654:0.000000
x:@0.304540:0.807445:0.309962:0.807445:0.309962:0.795514:0.304540:0.795514:0.000000
–∞:@0.320612:0.807869:0.336904:0.807869:0.336904:0.795030:0.320612:0.795030:0.000000:0.000000
lim:@0.308098:0.800376:0.332985:0.800376:0.332985:0.784664:0.308098:0.784664:0.000000:0.000000:0.000000
x:@0.419126:0.791653:0.426581:0.791653:0.426581:0.775247:0.419126:0.775247:0.000000
(√ +:@0.344447:0.814772:0.400677:0.814775:0.400677:0.797121:0.344447:0.797117:0.000000:0.000000:0.000000:0.000000
x:@0.371009:0.814189:0.378464:0.814189:0.378464:0.797783:0.371009:0.797783:0.000000
2:@0.379510:0.808129:0.384747:0.808129:0.384747:0.798969:0.379510:0.798969:0.000000
2:@0.401689:0.814193:0.410672:0.814193:0.410672:0.798480:0.401689:0.798480:0.000000
x:@0.411702:0.814193:0.419157:0.814193:0.419157:0.797787:0.411702:0.797787:0.000000
+√ + ):@0.420188:0.814775:0.501242:0.814775:0.501242:0.797121:0.420188:0.797121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.455954:0.814193:0.463408:0.814193:0.463408:0.797787:0.455954:0.797787:0.000000
2:@0.464448:0.808129:0.469685:0.808129:0.469685:0.798969:0.464448:0.798969:0.000000
x:@0.486627:0.814193:0.494082:0.814193:0.494082:0.797787:0.486627:0.797787:0.000000
=:@0.073089:0.871914:0.088422:0.871914:0.088422:0.854259:0.073089:0.854259:0.000000
x:@0.091275:0.878116:0.096697:0.878116:0.096697:0.866185:0.091275:0.866185:0.000000
–∞:@0.107347:0.878540:0.123640:0.878540:0.123640:0.865701:0.107347:0.865701:0.000000:0.000000
lim:@0.094833:0.871047:0.119719:0.871047:0.119719:0.855335:0.094833:0.855335:0.000000:0.000000:0.000000
x:@0.205774:0.846065:0.213229:0.846065:0.213229:0.829658:0.205774:0.829658:0.000000
x:@0.205774:0.861833:0.213229:0.861833:0.213229:0.845427:0.205774:0.845427:0.000000
(√ +:@0.131191:0.881799:0.187413:0.881799:0.187413:0.864145:0.131191:0.864145:0.000000:0.000000:0.000000:0.000000
x:@0.157753:0.881217:0.165207:0.881217:0.165207:0.864811:0.157753:0.864811:0.000000
2:@0.166245:0.875153:0.171482:0.875153:0.171482:0.865992:0.166245:0.865992:0.000000
2:@0.188426:0.881217:0.197409:0.881217:0.197409:0.865504:0.188426:0.865504:0.000000
x:@0.198439:0.881217:0.205894:0.881217:0.205894:0.864811:0.198439:0.864811:0.000000
+√ + ):@0.206925:0.881799:0.287977:0.881799:0.287977:0.864145:0.206925:0.864145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.242690:0.881217:0.250145:0.881217:0.250145:0.864811:0.242690:0.864811:0.000000
2:@0.251183:0.875153:0.256420:0.875153:0.256420:0.865992:0.251183:0.865992:0.000000
x:@0.273362:0.881217:0.280817:0.881217:0.280817:0.864811:0.273362:0.864811:0.000000
x:@0.205844:0.895348:0.213299:0.895348:0.213299:0.878942:0.205844:0.878942:0.000000
=:@0.295190:0.871914:0.310523:0.871914:0.310523:0.854259:0.295190:0.854259:0.000000
x:@0.313376:0.878795:0.318798:0.878795:0.318798:0.866863:0.313376:0.866863:0.000000
–∞:@0.329447:0.879218:0.345739:0.879218:0.345739:0.866379:0.329447:0.866379:0.000000:0.000000
lim:@0.316934:0.871726:0.341820:0.871726:0.341820:0.856013:0.316934:0.856013:0.000000:0.000000:0.000000
1:@0.439056:0.864043:0.448038:0.864043:0.448038:0.848330:0.439056:0.848330:0.000000
    :@0.358966:0.890004:0.375974:0.890004:0.375974:0.874291:0.358966:0.874291:0.000000:0.000000:0.000000:0.000000
x:@0.378866:0.881757:0.386321:0.881757:0.386321:0.865351:0.378866:0.865351:0.000000
2:@0.387358:0.875694:0.392595:0.875694:0.392595:0.866533:0.387358:0.866533:0.000000
x:@0.378866:0.897520:0.386321:0.897520:0.386321:0.881114:0.378866:0.881114:0.000000
2:@0.387358:0.891456:0.392595:0.891456:0.392595:0.882295:0.387358:0.882295:0.000000
+:@0.395541:0.890588:0.410874:0.890588:0.410874:0.872934:0.395541:0.872934:0.000000
2:@0.414280:0.881687:0.423262:0.881687:0.423262:0.865974:0.414280:0.865974:0.000000
x:@0.424293:0.881687:0.431748:0.881687:0.431748:0.865281:0.424293:0.865281:0.000000
x:@0.416157:0.897455:0.423612:0.897455:0.423612:0.881049:0.416157:0.881049:0.000000
2:@0.424638:0.891385:0.429875:0.891385:0.429875:0.882224:0.424638:0.882224:0.000000
 :@0.430449:0.890005:0.434481:0.890005:0.434481:0.874293:0.430449:0.874293:0.000000
+    :@0.434775:0.890588:0.468792:0.890588:0.468792:0.872934:0.434775:0.872934:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.468792:0.890005:0.472823:0.890005:0.472823:0.874293:0.468792:0.874293:0.000000
x:@0.476829:0.881757:0.484284:0.881757:0.484284:0.865351:0.476829:0.865351:0.000000
2:@0.485321:0.875694:0.490558:0.875694:0.490558:0.866533:0.485321:0.866533:0.000000
x:@0.476829:0.897520:0.484284:0.897520:0.484284:0.881114:0.476829:0.881114:0.000000
2:@0.485321:0.891456:0.490558:0.891456:0.490558:0.882295:0.485321:0.882295:0.000000
+:@0.493504:0.890588:0.508838:0.890588:0.508838:0.872934:0.493504:0.872934:0.000000
x:@0.514873:0.881591:0.522328:0.881591:0.522328:0.865185:0.514873:0.865185:0.000000
x:@0.511744:0.897359:0.519199:0.897359:0.519199:0.880953:0.511744:0.880953:0.000000
2:@0.520230:0.891289:0.525467:0.891289:0.525467:0.882129:0.520230:0.882129:0.000000
√:@0.350279:0.898634:0.368686:0.898634:0.368686:0.880980:0.350279:0.880980:0.000000
√:@0.448445:0.898634:0.466852:0.898634:0.466852:0.880980:0.448445:0.880980:0.000000
=:@0.538696:0.871914:0.554029:0.871914:0.554029:0.854259:0.538696:0.854259:0.000000
x:@0.073089:0.931176:0.078511:0.931176:0.078511:0.919244:0.073089:0.919244:0.000000
–∞:@0.089161:0.931600:0.105453:0.931600:0.105453:0.918760:0.089161:0.918760:0.000000:0.000000
lim:@0.076646:0.924107:0.101533:0.924107:0.101533:0.908395:0.076646:0.908395:0.000000:0.000000:0.000000
1:@0.186910:0.916424:0.195893:0.916424:0.195893:0.900711:0.186910:0.900711:0.000000
   1:@0.123736:0.942385:0.145696:0.942385:0.145696:0.926672:0.123736:0.926672:0.000000:0.000000:0.000000:0.000000
+:@0.145954:0.942967:0.161287:0.942967:0.161287:0.925313:0.145954:0.925313:0.000000
1:@0.164200:0.934068:0.173183:0.934068:0.173183:0.918355:0.164200:0.918355:0.000000
x:@0.164973:0.949836:0.172428:0.949836:0.172428:0.933430:0.164973:0.933430:0.000000
 :@0.176073:0.942389:0.180104:0.942389:0.180104:0.926676:0.176073:0.926676:0.000000
+     +:@0.180399:0.942971:0.244437:0.942971:0.244437:0.925317:0.180399:0.925317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 1:@0.214415:0.942389:0.227724:0.942389:0.227724:0.926676:0.214415:0.926676:0.000000:0.000000
1:@0.247329:0.933972:0.256312:0.933972:0.256312:0.918260:0.247329:0.918260:0.000000
x:@0.248102:0.949740:0.255557:0.949740:0.255557:0.933334:0.248102:0.933334:0.000000
√:@0.112367:0.951016:0.130774:0.951016:0.130774:0.933362:0.112367:0.933362:0.000000
√:@0.195114:0.951015:0.213522:0.951015:0.213522:0.933361:0.195114:0.933361:0.000000
=:@0.275168:0.924466:0.290501:0.924466:0.290501:0.906812:0.275168:0.906812:0.000000
1:@0.310208:0.915443:0.319191:0.915443:0.319191:0.899730:0.310208:0.899730:0.000000
1 1:@0.298133:0.934415:0.331266:0.934415:0.331266:0.918702:0.298133:0.918702:0.000000:0.000000:0.000000
+:@0.307042:0.934997:0.322375:0.934997:0.322375:0.917343:0.307042:0.917343:0.000000
=:@0.338942:0.924471:0.354275:0.924471:0.354275:0.906817:0.338942:0.906817:0.000000
1:@0.359749:0.915644:0.368732:0.915644:0.368732:0.899932:0.359749:0.899932:0.000000
2:@0.359749:0.931413:0.368732:0.931413:0.368732:0.915700:0.359749:0.915700:0.000000
.:@0.374401:0.923896:0.377604:0.923896:0.377604:0.908183:0.374401:0.908183:0.000000
x:@0.796038:0.202515:0.801459:0.202515:0.801459:0.190583:0.796038:0.190583:0.000000
∞:@0.812209:0.202938:0.821138:0.202938:0.821138:0.190099:0.812209:0.190099:0.000000
lim:@0.796038:0.195446:0.820924:0.195446:0.820924:0.179733:0.796038:0.179733:0.000000:0.000000:0.000000
1:@0.829258:0.190443:0.838240:0.190443:0.838240:0.174730:0.829258:0.174730:0.000000
x:@0.830031:0.202786:0.837486:0.202786:0.837486:0.186380:0.830031:0.186380:0.000000
=:@0.840744:0.197377:0.856077:0.197377:0.856077:0.179723:0.840744:0.179723:0.000000
0:@0.855985:0.196795:0.864968:0.196795:0.864968:0.181082:0.855985:0.181082:0.000000
Si damos a x valores cada :@0.740314:0.227735:0.924894:0.227735:0.924894:0.212022:0.740314:0.212022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vez más grandes,   se :@0.740314:0.247330:0.924744:0.247334:0.924744:0.231622:0.740314:0.231618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.885721:0.242702:0.894704:0.242702:0.894704:0.226990:0.885721:0.226990:0.000000
x:@0.886494:0.255045:0.893949:0.255045:0.893949:0.238639:0.886494:0.238639:0.000000
hace cada vez más :@0.740304:0.263976:0.924755:0.263976:0.924755:0.248263:0.740304:0.248263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeña y se aproxima a :@0.740304:0.280618:0.924822:0.280618:0.924822:0.264905:0.740304:0.264905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 tanto como se desee.:@0.740304:0.297260:0.908476:0.297260:0.908476:0.281547:0.740304:0.281547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.792393:0.338596:0.797815:0.338596:0.797815:0.326664:0.792393:0.326664:0.000000
–∞:@0.808565:0.339019:0.824924:0.339019:0.824924:0.326180:0.808565:0.326180:0.000000:0.000000
lim:@0.795375:0.331527:0.820262:0.331527:0.820262:0.315814:0.795375:0.315814:0.000000:0.000000:0.000000
1:@0.829780:0.326523:0.838762:0.326523:0.838762:0.310810:0.829780:0.310810:0.000000
x:@0.830553:0.338866:0.838008:0.338866:0.838008:0.322459:0.830553:0.322459:0.000000
=:@0.841266:0.333457:0.856599:0.333457:0.856599:0.315803:0.841266:0.315803:0.000000
0.:@0.856507:0.332875:0.868619:0.332875:0.868619:0.317162:0.856507:0.317162:0.000000:0.000000
Si  damos  a    valores  :@0.740302:0.363814:0.924772:0.363814:0.924772:0.348102:0.740302:0.348102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.845794:0.363814:0.853249:0.363814:0.853249:0.347408:0.845794:0.347408:0.000000
negativos cada vez más :@0.740302:0.380456:0.924805:0.380456:0.924805:0.364744:0.740302:0.364744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alejado de 0 ,   se hace :@0.740302:0.400052:0.924726:0.400057:0.924726:0.384344:0.740302:0.384339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.847673:0.395425:0.856656:0.395425:0.856656:0.379712:0.847673:0.379712:0.000000
x:@0.848446:0.407768:0.855901:0.407768:0.855901:0.391362:0.848446:0.391362:0.000000
cada vez más pequeña y :@0.740304:0.416699:0.924779:0.416699:0.924779:0.400986:0.740304:0.400986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se aproxima a 0 tanto :@0.740304:0.433341:0.924768:0.433341:0.924768:0.417628:0.740304:0.417628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como se desee.:@0.740304:0.449983:0.852746:0.449983:0.852746:0.434270:0.740304:0.434270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.791712:0.490923:0.796456:0.490923:0.796456:0.480483:0.791712:0.480483:0.000000
±∞:@0.807005:0.491293:0.825208:0.491293:0.825208:0.480059:0.807005:0.480059:0.000000:0.000000
lim:@0.794870:0.484248:0.819756:0.484248:0.819756:0.468536:0.794870:0.468536:0.000000:0.000000:0.000000
1:@0.830461:0.479246:0.839444:0.479246:0.839444:0.463533:0.830461:0.463533:0.000000
x:@0.831234:0.491588:0.838689:0.491588:0.838689:0.475182:0.831234:0.475182:0.000000
=:@0.841947:0.486180:0.857280:0.486180:0.857280:0.468526:0.841947:0.468526:0.000000
0.:@0.857188:0.485597:0.869300:0.485597:0.869300:0.469885:0.857188:0.469885:0.000000:0.000000
Par   un entero.:@0.773104:0.516537:0.887945:0.516537:0.887945:0.500825:0.773104:0.500825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.799279:0.516537:0.808777:0.516537:0.808777:0.500131:0.799279:0.500131:0.000000
Competencia :@0.740294:0.145427:0.838985:0.145427:0.838985:0.130021:0.740294:0.130021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.160556:0.828908:0.160556:0.828908:0.145150:0.740294:0.145150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Límites en el :@0.741982:0.800654:0.835104:0.800654:0.835104:0.785247:0.741982:0.785247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinito:@0.741982:0.817296:0.794056:0.817296:0.794056:0.801889:0.741982:0.801889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t.ly/wH6e0:@0.763050:0.930570:0.841520:0.930570:0.841520:0.914857:0.763050:0.914857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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