﻿97:@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
Ejemplo 5:@0.073089:0.136836:0.148872:0.136836:0.148872:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluemos los límites lim:@0.073089:0.169149:0.257604:0.169247:0.257604:0.153535:0.073089:0.153436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.231532:0.176316:0.236954:0.176316:0.236954:0.164385:0.231532:0.164385:0.000000
2:@0.247704:0.176316:0.254237:0.176316:0.254237:0.164889:0.247704:0.164889:0.000000
+:@0.254981:0.172153:0.261483:0.172153:0.261483:0.164668:0.254981:0.164668:0.000000
3:@0.288432:0.162519:0.297415:0.162519:0.297415:0.146806:0.288432:0.146806:0.000000
( – ):@0.268810:0.178648:0.310797:0.178648:0.310797:0.160993:0.268810:0.160993:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.275952:0.178065:0.283407:0.178065:0.283407:0.161659:0.275952:0.161659:0.000000
2:@0.294654:0.178065:0.303637:0.178065:0.303637:0.162352:0.294654:0.162352:0.000000
2:@0.311805:0.172004:0.317042:0.172004:0.317042:0.162843:0.311805:0.162843:0.000000
    y    lim:@0.321328:0.169155:0.387023:0.169247:0.387023:0.153535:0.321328:0.153443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.360952:0.176316:0.366374:0.176316:0.366374:0.164385:0.360952:0.164385:0.000000
2:@0.377124:0.176316:0.383657:0.176316:0.383657:0.164889:0.377124:0.164889:0.000000
–:@0.384401:0.172153:0.388304:0.172153:0.388304:0.164668:0.384401:0.164668:0.000000
3:@0.417852:0.162519:0.426835:0.162519:0.426835:0.146806:0.417852:0.146806:0.000000
( – ):@0.398230:0.178648:0.440217:0.178648:0.440217:0.160993:0.398230:0.160993:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.405372:0.178065:0.412827:0.178065:0.412827:0.161659:0.405372:0.161659:0.000000
2:@0.424074:0.178065:0.433057:0.178065:0.433057:0.162352:0.424074:0.162352:0.000000
2:@0.441224:0.172004:0.446461:0.172004:0.446461:0.162843:0.441224:0.162843:0.000000
0:@0.159995:0.443373:0.166528:0.443373:0.166528:0.431945:0.159995:0.431945:0.000000
10:@0.153301:0.381455:0.166367:0.381455:0.166367:0.370027:0.153301:0.370027:0.000000:0.000000
20:@0.153301:0.327051:0.166367:0.327051:0.166367:0.315624:0.153301:0.315624:0.000000:0.000000
30:@0.153181:0.272950:0.166247:0.272950:0.166247:0.261523:0.153181:0.261523:0.000000:0.000000
40:@0.153181:0.219182:0.166247:0.219182:0.166247:0.207754:0.153181:0.207754:0.000000:0.000000
2:@0.246569:0.443373:0.253102:0.443373:0.253102:0.431945:0.246569:0.431945:0.000000
4:@0.325219:0.443373:0.331751:0.443373:0.331751:0.431945:0.325219:0.431945:0.000000
−2:@0.084911:0.443373:0.099423:0.443373:0.099423:0.431945:0.084911:0.431945:0.000000:0.000000
Figura 4.3:@0.202094:0.475267:0.276047:0.475267:0.276047:0.458597:0.202094:0.458597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La expresión :@0.410876:0.228656:0.506163:0.228656:0.506163:0.212944:0.410876:0.212944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.529976:0.222753:0.538959:0.222753:0.538959:0.207041:0.529976:0.207041:0.000000
( – ):@0.510354:0.238882:0.552341:0.238882:0.552341:0.221228:0.510354:0.221228:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.517496:0.238300:0.524951:0.238300:0.524951:0.221894:0.517496:0.221894:0.000000
2:@0.536197:0.238300:0.545180:0.238300:0.545180:0.222587:0.536197:0.222587:0.000000
2:@0.553348:0.232240:0.558585:0.232240:0.558585:0.223079:0.553348:0.223079:0.000000
 crece sin límite en ambos casos,:@0.562871:0.228656:0.798077:0.228656:0.798077:0.212944:0.562871:0.212944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tal como se observa en la Figura 4.3, por las siguientes razones::@0.410883:0.256018:0.865036:0.256018:0.865036:0.240306:0.410883:0.240306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando  x toma valores muy próximos a 2  por la derecha o por la :@0.410883:0.283380:0.923685:0.283380:0.923685:0.267668:0.410883:0.267668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
izquierda se cumple::@0.410883:0.300022:0.559819:0.300022:0.559819:0.284309:0.410883:0.284309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.410876:0.327388:0.426945:0.327388:0.426945:0.311675:0.410876:0.311675:0.000000:0.000000:0.000000
( – ):@0.441077:0.327970:0.479088:0.327970:0.479088:0.310316:0.441077:0.310316:0.000000:0.000000:0.000000:0.000000:0.000000
x 2  siempre será positivo.:@0.447115:0.327388:0.644293:0.327388:0.644293:0.311675:0.447115:0.311675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.478983:0.321324:0.484220:0.321324:0.484220:0.312163:0.478983:0.312163:0.000000
2. :@0.410876:0.354751:0.426945:0.354751:0.426945:0.339038:0.410876:0.339038:0.000000:0.000000:0.000000
( – ):@0.441077:0.355333:0.479088:0.355333:0.479088:0.337679:0.441077:0.337679:0.000000:0.000000:0.000000:0.000000:0.000000
x 2  tiende a cero. :@0.447115:0.354751:0.589907:0.354751:0.589907:0.339038:0.447115:0.339038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.478983:0.348687:0.484220:0.348687:0.484220:0.339527:0.478983:0.339527:0.000000
3.  3 dividido por un número positivo que tiende a cero crece sin :@0.410876:0.382114:0.923712:0.382114:0.923712:0.366401:0.410876:0.366401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
límite.:@0.441003:0.398756:0.484743:0.398756:0.484743:0.383043:0.441003:0.383043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por lo tanto, lim:@0.410889:0.431069:0.527745:0.431167:0.527745:0.415455:0.410889:0.415356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.501672:0.438236:0.507094:0.438236:0.507094:0.426305:0.501672:0.426305:0.000000
2:@0.517845:0.438236:0.524378:0.438236:0.524378:0.426809:0.517845:0.426809:0.000000
+:@0.525123:0.434073:0.531624:0.434073:0.531624:0.426588:0.525123:0.426588:0.000000
3:@0.558572:0.424439:0.567555:0.424439:0.567555:0.408726:0.558572:0.408726:0.000000
( – ):@0.538950:0.440567:0.580937:0.440567:0.580937:0.422913:0.538950:0.422913:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.546092:0.439985:0.553547:0.439985:0.553547:0.423579:0.546092:0.423579:0.000000
2:@0.564794:0.439985:0.573777:0.439985:0.573777:0.424272:0.564794:0.424272:0.000000
2:@0.581946:0.433923:0.587183:0.433923:0.587183:0.424763:0.581946:0.424763:0.000000
=∞:@0.591469:0.431658:0.618988:0.431658:0.618988:0.414003:0.591469:0.414003:0.000000:0.000000
    y    lim:@0.618896:0.431075:0.684592:0.431167:0.684592:0.415455:0.618896:0.415363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.658519:0.438236:0.663940:0.438236:0.663940:0.426305:0.658519:0.426305:0.000000
2:@0.674690:0.438236:0.681223:0.438236:0.681223:0.426809:0.674690:0.426809:0.000000
–:@0.681968:0.434073:0.685870:0.434073:0.685870:0.426588:0.681968:0.426588:0.000000
3:@0.715419:0.424439:0.724402:0.424439:0.724402:0.408726:0.715419:0.408726:0.000000
( – ):@0.695797:0.440567:0.737784:0.440567:0.737784:0.422913:0.695797:0.422913:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.702939:0.439985:0.710394:0.439985:0.710394:0.423579:0.702939:0.423579:0.000000
2:@0.721640:0.439985:0.730623:0.439985:0.730623:0.424272:0.721640:0.424272:0.000000
2:@0.738793:0.433923:0.744030:0.433923:0.744030:0.424763:0.738793:0.424763:0.000000
=∞:@0.748316:0.431658:0.775835:0.431658:0.775835:0.414003:0.748316:0.414003:0.000000:0.000000
.:@0.775743:0.431075:0.778946:0.431075:0.778946:0.415363:0.775743:0.415363:0.000000
Dentro del estudio de los límites infinitos hay otro grupo de límites que es importante considerar. Conoceremos la :@0.073083:0.521135:0.931017:0.521135:0.931017:0.505423:0.073083:0.505423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definición de dos de ellos.:@0.073083:0.537777:0.261273:0.537777:0.261273:0.522064:0.073083:0.522064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Decimos que lim :@0.073083:0.569729:0.207539:0.569954:0.207539:0.554241:0.073083:0.554017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.177591:0.576466:0.183012:0.576466:0.183012:0.564534:0.177591:0.564534:0.000000
∞:@0.193645:0.576889:0.202574:0.576889:0.202574:0.564050:0.193645:0.564050:0.000000
f x:@0.208533:0.569954:0.228855:0.569954:0.228855:0.553548:0.208533:0.553548:0.000000:0.000000:0.000000
( )=∞:@0.214258:0.570536:0.266111:0.570301:0.266111:0.552646:0.214258:0.552882:0.000000:0.000000:0.000000:0.000000:0.000000
 si se cumple la condición siguiente: para todo :@0.266222:0.569718:0.621121:0.569718:0.621121:0.554005:0.266222:0.554005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.622089:0.569718:0.635968:0.569718:0.635968:0.553312:0.622089:0.553312:0.000000
>:@0.637146:0.570301:0.652479:0.570301:0.652479:0.552646:0.637146:0.552646:0.000000
0 existe un número   tal que si :@0.652590:0.569718:0.889731:0.569718:0.889731:0.554005:0.652590:0.554005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.803585:0.569718:0.811242:0.569718:0.811242:0.553312:0.803585:0.553312:0.000000
x c:@0.890725:0.569718:0.922459:0.569718:0.922459:0.553312:0.890725:0.553312:0.000000:0.000000:0.000000
>:@0.899358:0.570301:0.914691:0.570301:0.914691:0.552646:0.899358:0.552646:0.000000
, :@0.923637:0.569718:0.930871:0.569718:0.930871:0.554005:0.923637:0.554005:0.000000:0.000000
entonces   pertenece al dominio de   y :@0.073019:0.586360:0.361608:0.586360:0.361608:0.570647:0.073019:0.570647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.144366:0.586360:0.151821:0.586360:0.151821:0.569954:0.144366:0.569954:0.000000
f f x:@0.339869:0.586360:0.380733:0.586360:0.380733:0.569954:0.339869:0.569954:0.000000:0.000000:0.000000:0.000000:0.000000
( )>:@0.367241:0.586942:0.403135:0.586942:0.403135:0.569288:0.367241:0.569288:0.000000:0.000000:0.000000:0.000000
M:@0.403043:0.586360:0.416922:0.586360:0.416922:0.569954:0.403043:0.569954:0.000000
.:@0.417953:0.586360:0.421155:0.586360:0.421155:0.570647:0.417953:0.570647:0.000000
0:@0.353596:0.793402:0.362579:0.793402:0.362579:0.777689:0.353596:0.777689:0.000000
5:@0.350246:0.677089:0.359228:0.677089:0.359228:0.661377:0.350246:0.661377:0.000000
5:@0.502087:0.793402:0.511070:0.793402:0.511070:0.777689:0.502087:0.777689:0.000000
10:@0.639313:0.793402:0.657279:0.793402:0.657279:0.777689:0.639313:0.777689:0.000000:0.000000
M:@0.342403:0.743790:0.357543:0.743790:0.357543:0.725893:0.342403:0.725893:0.000000
c:@0.469372:0.791976:0.477726:0.791976:0.477726:0.774079:0.469372:0.774079:0.000000
y:@0.331459:0.623182:0.339611:0.623182:0.339611:0.605285:0.331459:0.605285:0.000000
x:@0.673773:0.800524:0.681906:0.800524:0.681906:0.782626:0.673773:0.782626:0.000000
y=f x:@0.537104:0.707224:0.583832:0.707224:0.583832:0.689326:0.537104:0.689326:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.568370:0.707224:0.591162:0.707224:0.591162:0.690083:0.568370:0.690083:0.000000:0.000000:0.000000
Figura 4.4 :@0.463040:0.852363:0.540896:0.852363:0.540896:0.835694:0.463040:0.835694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Decimos que lim :@0.073083:0.891458:0.206493:0.891693:0.206493:0.875981:0.073083:0.875745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.176545:0.898205:0.181967:0.898205:0.181967:0.886274:0.176545:0.886274:0.000000
∞:@0.192599:0.898629:0.201528:0.898629:0.201528:0.885789:0.192599:0.885789:0.000000
f x:@0.207487:0.891693:0.227809:0.891693:0.227809:0.875287:0.207487:0.875287:0.000000:0.000000:0.000000
( )=–∞:@0.213212:0.892276:0.274214:0.892040:0.274214:0.874386:0.213212:0.874622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si se cumple la condición siguiente: para todo :@0.274287:0.891458:0.625052:0.891458:0.625052:0.875745:0.274287:0.875745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.625737:0.891458:0.639616:0.891458:0.639616:0.875052:0.625737:0.875052:0.000000
<:@0.640757:0.892040:0.656091:0.892040:0.656091:0.874386:0.640757:0.874386:0.000000
0 existe un número   tal que si :@0.656146:0.891458:0.890139:0.891458:0.890139:0.875745:0.656146:0.875745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.805281:0.891458:0.812939:0.891458:0.812939:0.875052:0.805281:0.875052:0.000000
x c:@0.890857:0.891458:0.922499:0.891458:0.922499:0.875052:0.890857:0.875052:0.000000:0.000000:0.000000
>:@0.899453:0.892040:0.914786:0.892040:0.914786:0.874386:0.899453:0.874386:0.000000
, :@0.923640:0.891458:0.930874:0.891458:0.930874:0.875745:0.923640:0.875745:0.000000:0.000000
entonces   pertenece al dominio de   y :@0.325846:0.908100:0.614435:0.908100:0.614435:0.892387:0.325846:0.892387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.397193:0.908100:0.404647:0.908100:0.404647:0.891693:0.397193:0.891693:0.000000
f f x:@0.592696:0.908100:0.633560:0.908100:0.633560:0.891693:0.592696:0.891693:0.000000:0.000000:0.000000:0.000000:0.000000
( )<:@0.620068:0.908682:0.655962:0.908682:0.655962:0.891028:0.620068:0.891028:0.000000:0.000000:0.000000:0.000000
M:@0.655870:0.908100:0.669749:0.908100:0.669749:0.891693:0.655870:0.891693:0.000000
.:@0.670780:0.908100:0.673982:0.908100:0.673982:0.892387:0.670780:0.892387:0.000000
x:@0.655585:0.651882:0.661007:0.651882:0.661007:0.639950:0.655585:0.639950:0.000000
∞:@0.671640:0.652306:0.680569:0.652306:0.680569:0.639466:0.671640:0.639466:0.000000
lim :@0.655585:0.645370:0.685534:0.645370:0.685534:0.629658:0.655585:0.629658:0.000000:0.000000:0.000000:0.000000
f x:@0.686528:0.645370:0.706849:0.645370:0.706849:0.628964:0.686528:0.628964:0.000000:0.000000:0.000000
( )=∞:@0.692252:0.645953:0.743646:0.645953:0.743646:0.628299:0.692252:0.628299:0.000000:0.000000:0.000000:0.000000:0.000000
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