96:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Límites y continuidad de funciones:@0.073089:0.043661:0.383513:0.043661:0.383513:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.2 Asíntota horizontal:@0.293660:0.136836:0.472418:0.136836:0.472418:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se llama asíntota horizontal de la curva :@0.293660:0.164198:0.580187:0.164198:0.580187:0.148486:0.293660:0.148486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y f x:@0.579856:0.164198:0.622819:0.164198:0.622819:0.147792:0.579856:0.147792:0.000000:0.000000:0.000000:0.000000:0.000000
= ( ):@0.588360:0.164781:0.629979:0.164781:0.629979:0.147126:0.588360:0.147126:0.000000:0.000000:0.000000:0.000000:0.000000
 a la recta :@0.629887:0.164198:0.702417:0.164198:0.702417:0.148486:0.629887:0.148486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y L:@0.702264:0.164198:0.733630:0.164198:0.733630:0.147792:0.702264:0.147792:0.000000:0.000000:0.000000
=:@0.710768:0.164781:0.726102:0.164781:0.726102:0.147126:0.710768:0.147126:0.000000
 si se cumple lo que sigue::@0.734661:0.164198:0.924495:0.164198:0.924495:0.148486:0.734661:0.148486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  lim :@0.293605:0.199715:0.331116:0.199507:0.331116:0.183794:0.293605:0.184002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.297609:0.208434:0.303031:0.208434:0.303031:0.196502:0.297609:0.196502:0.000000
–∞:@0.313783:0.208858:0.330142:0.208858:0.330142:0.196018:0.313783:0.196018:0.000000:0.000000
f x:@0.332110:0.199507:0.352431:0.199507:0.352431:0.183101:0.332110:0.183101:0.000000:0.000000:0.000000
( )=:@0.337834:0.200089:0.377115:0.200297:0.377115:0.182643:0.337834:0.182435:0.000000:0.000000:0.000000:0.000000
L:@0.377023:0.199715:0.384644:0.199715:0.384644:0.183309:0.377023:0.183309:0.000000
  o   lim :@0.385675:0.199715:0.445117:0.199507:0.445117:0.183794:0.385675:0.184002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.415168:0.208434:0.420590:0.208434:0.420590:0.196502:0.415168:0.196502:0.000000
∞:@0.431223:0.208858:0.440152:0.208858:0.440152:0.196018:0.431223:0.196018:0.000000
f x:@0.446111:0.199507:0.466432:0.199507:0.466432:0.183101:0.446111:0.183101:0.000000:0.000000:0.000000
( )=:@0.451835:0.200089:0.491116:0.200297:0.491116:0.182643:0.451835:0.182435:0.000000:0.000000:0.000000:0.000000
L:@0.491024:0.199715:0.498645:0.199715:0.498645:0.183309:0.491024:0.183309:0.000000
  (se puede cumplir una condición, la otra o ambas).:@0.499676:0.199715:0.873969:0.199715:0.873969:0.184002:0.499676:0.184002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.293625:0.241375:0.369408:0.241375:0.369408:0.224705:0.293625:0.224705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la gráfica dada observamos que la curva :@0.293625:0.273507:0.618182:0.273507:0.618182:0.257795:0.293625:0.257795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.618697:0.273507:0.639221:0.273507:0.639221:0.257101:0.618697:0.257101:0.000000:0.000000:0.000000
( )= +:@0.624514:0.274090:0.694943:0.274088:0.694943:0.256434:0.624514:0.256436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.666707:0.266946:0.675689:0.266946:0.675689:0.251234:0.666707:0.251234:0.000000
x:@0.666449:0.279469:0.673904:0.279469:0.673904:0.263063:0.666449:0.263063:0.000000
3  tiene una asíntota horizontal :@0.696066:0.273506:0.930943:0.273506:0.930943:0.257793:0.696066:0.257793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que corresponde a la recta :@0.293665:0.292713:0.489730:0.292713:0.489730:0.277001:0.293665:0.277001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.489187:0.292713:0.496660:0.292713:0.496660:0.276307:0.489187:0.276307:0.000000
=:@0.497691:0.293296:0.513024:0.293296:0.513024:0.275642:0.497691:0.275642:0.000000
3, dado que se cumple en este caso que  lim:@0.513300:0.292713:0.833680:0.292048:0.833680:0.276335:0.513300:0.277001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.805236:0.299063:0.810658:0.299063:0.810658:0.287131:0.805236:0.287131:0.000000
–∞:@0.821408:0.299486:0.837767:0.299486:0.837767:0.286647:0.821408:0.286647:0.000000:0.000000
+ =:@0.858714:0.295834:0.900407:0.295834:0.900407:0.278180:0.858714:0.278180:0.000000:0.000000:0.000000
3 3 :@0.875060:0.295251:0.914433:0.295251:0.914433:0.279539:0.875060:0.279539:0.000000:0.000000:0.000000:0.000000
1:@0.843910:0.288360:0.852893:0.288360:0.852893:0.272647:0.843910:0.272647:0.000000
x:@0.844683:0.301674:0.852138:0.301674:0.852138:0.285268:0.844683:0.285268:0.000000
 y :@0.915220:0.292729:0.930958:0.292729:0.930958:0.277016:0.915220:0.277016:0.000000:0.000000:0.000000
x:@0.293660:0.318503:0.299082:0.318503:0.299082:0.306572:0.293660:0.306572:0.000000
∞:@0.309832:0.318927:0.318761:0.318927:0.318761:0.306087:0.309832:0.306087:0.000000
lim:@0.293660:0.311260:0.318547:0.311260:0.318547:0.295548:0.293660:0.295548:0.000000:0.000000:0.000000
+ =:@0.343581:0.315046:0.385273:0.315046:0.385273:0.297392:0.343581:0.297392:0.000000:0.000000:0.000000
3 3 :@0.359926:0.314464:0.399299:0.314464:0.399299:0.298751:0.359926:0.298751:0.000000:0.000000:0.000000:0.000000
1:@0.328776:0.307574:0.337759:0.307574:0.337759:0.291861:0.328776:0.291861:0.000000
x:@0.329549:0.320887:0.337004:0.320887:0.337004:0.304481:0.329549:0.304481:0.000000
.:@0.395742:0.311942:0.398945:0.311942:0.398945:0.296230:0.395742:0.296230:0.000000
0:@0.570641:0.509915:0.578556:0.509915:0.578556:0.496070:0.570641:0.496070:0.000000
5:@0.570641:0.434899:0.578556:0.434899:0.578556:0.421054:0.570641:0.421054:0.000000
10:@0.562385:0.367997:0.578215:0.367997:0.578215:0.354152:0.562385:0.354152:0.000000:0.000000
2:@0.667419:0.509915:0.675334:0.509915:0.675334:0.496070:0.667419:0.496070:0.000000
4:@0.758651:0.509915:0.766566:0.509915:0.766566:0.496070:0.758651:0.496070:0.000000
x:@0.791527:0.495105:0.798096:0.495105:0.798096:0.480649:0.791527:0.480649:0.000000
y:@0.567296:0.337809:0.573881:0.337809:0.573881:0.323353:0.567296:0.323353:0.000000
−2:@0.479672:0.509915:0.497254:0.509915:0.497254:0.496070:0.479672:0.496070:0.000000:0.000000
f x =—+:@0.710395:0.348035:0.752776:0.348035:0.752776:0.336866:0.710395:0.336866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.713591:0.348035:0.725308:0.348035:0.725308:0.337338:0.713591:0.337338:0.000000:0.000000:0.000000
3:@0.752776:0.348035:0.758892:0.348035:0.758892:0.337338:0.752776:0.337338:0.000000
1:@0.736034:0.343891:0.742150:0.343891:0.742150:0.333194:0.736034:0.333194:0.000000
x:@0.736034:0.351982:0.741110:0.351982:0.741110:0.340813:0.736034:0.340813:0.000000
lim   ( ) 3:@0.709882:0.366077:0.759405:0.366077:0.759405:0.355380:0.709882:0.355380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x =:@0.730909:0.366077:0.753290:0.366077:0.753290:0.354908:0.730909:0.354908:0.000000:0.000000:0.000000:0.000000:0.000000
x     :@0.710899:0.368029:0.720313:0.368029:0.720313:0.362756:0.710899:0.362756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.720313:0.368224:0.724433:0.368224:0.724433:0.362300:0.720313:0.362300:0.000000
lim   ( ) 3:@0.710102:0.382317:0.759626:0.382317:0.759626:0.371620:0.710102:0.371620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x =:@0.731130:0.382317:0.753511:0.382317:0.753511:0.371148:0.731130:0.371148:0.000000:0.000000:0.000000:0.000000:0.000000
x     −:@0.709661:0.384270:0.722756:0.384270:0.722756:0.378997:0.709661:0.378997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.722756:0.384465:0.726876:0.384465:0.726876:0.378541:0.722756:0.378541:0.000000
La recta :@0.694870:0.397090:0.730623:0.397090:0.730623:0.387922:0.694870:0.387922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.730623:0.397090:0.737315:0.397090:0.737315:0.387355:0.730623:0.387355:0.000000:0.000000
= 3:@0.737315:0.397090:0.751504:0.397090:0.751504:0.387363:0.737315:0.387363:0.000000:0.000000:0.000000
 es la:@0.751504:0.397090:0.772577:0.397090:0.772577:0.387922:0.751504:0.387922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntota horizontal:@0.694870:0.407877:0.774416:0.407877:0.774416:0.398709:0.694870:0.398709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.768577:0.470839:0.775434:0.470839:0.775434:0.456747:0.768577:0.456747:0.000000
 = 3:@0.775433:0.470839:0.799268:0.470839:0.799268:0.456759:0.775433:0.456759:0.000000:0.000000:0.000000:0.000000
Figura 4.2:@0.573325:0.581517:0.647278:0.581517:0.647278:0.564848:0.573325:0.564848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Límites infinitos:@0.304214:0.626442:0.424185:0.626442:0.424185:0.609772:0.304214:0.609772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Decimos que lim :@0.304214:0.655023:0.434432:0.655703:0.434432:0.639991:0.304214:0.639310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.404484:0.662301:0.426224:0.662301:0.426224:0.650369:0.404484:0.650369:0.000000:0.000000:0.000000
f x:@0.435426:0.655703:0.455748:0.655703:0.455748:0.639297:0.435426:0.639297:0.000000:0.000000:0.000000
( )=∞:@0.441151:0.656286:0.492617:0.655606:0.492617:0.637952:0.441151:0.638632:0.000000:0.000000:0.000000:0.000000:0.000000
 para indicar que :@0.492525:0.655024:0.617566:0.655024:0.617566:0.639311:0.492525:0.639311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.617271:0.655024:0.636489:0.655024:0.636489:0.638618:0.617271:0.638618:0.000000:0.000000:0.000000
( ):@0.622996:0.655606:0.643649:0.655606:0.643649:0.637952:0.622996:0.637952:0.000000:0.000000:0.000000
 crece sin límite cuando   tiende a  , y :@0.643557:0.655024:0.921175:0.655024:0.921175:0.639311:0.643557:0.639311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.818371:0.655024:0.825826:0.655024:0.825826:0.638618:0.818371:0.638618:0.000000
c:@0.893399:0.655024:0.901056:0.655024:0.901056:0.638618:0.893399:0.638618:0.000000
x c:@0.304214:0.683734:0.325955:0.683734:0.325955:0.671802:0.304214:0.671802:0.000000:0.000000:0.000000
lim :@0.304214:0.677136:0.334163:0.677136:0.334163:0.661423:0.304214:0.661423:0.000000:0.000000:0.000000:0.000000
f x:@0.335157:0.677136:0.355478:0.677136:0.355478:0.660730:0.335157:0.660730:0.000000:0.000000:0.000000
( )=–∞ :@0.340881:0.677719:0.405969:0.677039:0.405969:0.659385:0.340881:0.660064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para indicar que :@0.405969:0.676457:0.527439:0.676457:0.527439:0.660744:0.405969:0.660744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.527163:0.676457:0.546380:0.676457:0.546380:0.660050:0.527163:0.660050:0.000000:0.000000:0.000000
( ):@0.532887:0.677039:0.553540:0.677039:0.553540:0.659385:0.532887:0.659385:0.000000:0.000000:0.000000
 decrece sin límite cuando   tiende a :@0.553448:0.676457:0.823188:0.676457:0.823188:0.660744:0.553448:0.660744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.747645:0.676457:0.755100:0.676457:0.755100:0.660050:0.747645:0.660050:0.000000
c.:@0.823041:0.676457:0.834877:0.676457:0.834877:0.660050:0.823041:0.660050:0.000000:0.000000
Conozcamos la definición formal de lim :@0.293630:0.739987:0.587711:0.740671:0.587711:0.724959:0.293630:0.724274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.557762:0.747269:0.579503:0.747269:0.579503:0.735337:0.557762:0.735337:0.000000:0.000000:0.000000
f x:@0.588705:0.740671:0.609027:0.740671:0.609027:0.724265:0.588705:0.724265:0.000000:0.000000:0.000000
( )=∞:@0.594430:0.741254:0.645896:0.740574:0.645896:0.722920:0.594430:0.723600:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.645804:0.739992:0.649007:0.739992:0.649007:0.724279:0.645804:0.724279:0.000000
 lim :@0.293637:0.782664:0.328883:0.782692:0.328883:0.766979:0.293637:0.766952:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.297745:0.789861:0.319486:0.789861:0.319486:0.777929:0.297745:0.777929:0.000000:0.000000:0.000000
+:@0.320240:0.785697:0.326741:0.785697:0.326741:0.778212:0.320240:0.778212:0.000000
f x:@0.329877:0.782692:0.350199:0.782692:0.350199:0.766286:0.329877:0.766286:0.000000:0.000000:0.000000
( )=∞:@0.335602:0.783274:0.387069:0.783233:0.387069:0.765579:0.335602:0.765620:0.000000:0.000000:0.000000:0.000000:0.000000
 si se cumple la condición siguiente: para todo :@0.386977:0.782650:0.727404:0.782650:0.727404:0.766938:0.386977:0.766938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.727179:0.782650:0.741058:0.782650:0.741058:0.766244:0.727179:0.766244:0.000000
>:@0.742089:0.783233:0.757423:0.783233:0.757423:0.765579:0.742089:0.765579:0.000000
0 corresponde un :@0.757330:0.782650:0.890457:0.782650:0.890457:0.766938:0.757330:0.766938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
δ>:@0.890415:0.783233:0.914860:0.783233:0.914860:0.765579:0.890415:0.765579:0.000000:0.000000
0, :@0.914768:0.782650:0.930911:0.782650:0.930911:0.766938:0.914768:0.766938:0.000000:0.000000:0.000000
tal que 0:@0.293615:0.800305:0.356697:0.800305:0.356697:0.784592:0.293615:0.784592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
< – <δ:@0.358040:0.800887:0.429166:0.800887:0.429166:0.783233:0.358040:0.783233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.374754:0.800305:0.401850:0.800305:0.401850:0.783898:0.374754:0.783898:0.000000:0.000000:0.000000
f x:@0.448221:0.800307:0.469279:0.800307:0.469279:0.783901:0.448221:0.783901:0.000000:0.000000:0.000000
( )>:@0.454314:0.800890:0.493521:0.800890:0.493521:0.783235:0.454314:0.783235:0.000000:0.000000:0.000000:0.000000
M. :@0.494902:0.800307:0.516832:0.800307:0.516832:0.783901:0.494902:0.783901:0.000000:0.000000:0.000000
Lo anterior significa que :@0.293637:0.842980:0.479782:0.842980:0.479782:0.827267:0.293637:0.827267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.481004:0.842980:0.502504:0.842980:0.502504:0.826573:0.481004:0.826573:0.000000:0.000000:0.000000
( ):@0.487281:0.843562:0.510216:0.843562:0.510216:0.825908:0.487281:0.825908:0.000000:0.000000:0.000000
 puede ser tan grande como se quiera, siendo siempre :@0.511855:0.842980:0.930975:0.842980:0.930975:0.827267:0.511855:0.827267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.293655:0.860634:0.314713:0.860634:0.314713:0.844228:0.293655:0.844228:0.000000:0.000000:0.000000
( )>:@0.299748:0.861216:0.338955:0.861216:0.338955:0.843562:0.299748:0.843562:0.000000:0.000000:0.000000:0.000000
M:@0.340336:0.860634:0.354215:0.860634:0.354215:0.844228:0.340336:0.844228:0.000000
 y tomando valores para   tan cercanos a   por la derecha como se desee.:@0.355614:0.860634:0.888397:0.860634:0.888397:0.844921:0.355614:0.844921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.534109:0.860634:0.541564:0.860634:0.541564:0.844228:0.534109:0.844228:0.000000
c:@0.655155:0.860634:0.662813:0.860634:0.662813:0.844228:0.655155:0.844228:0.000000
 Las definiciones formales de estos límites: lim :@0.293618:0.903306:0.638764:0.903742:0.638764:0.888029:0.293618:0.887593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.608187:0.910402:0.629927:0.910402:0.629927:0.898470:0.608187:0.898470:0.000000:0.000000:0.000000
+:@0.630684:0.906239:0.637185:0.906239:0.637185:0.898753:0.630684:0.898753:0.000000
f x:@0.639758:0.903742:0.660080:0.903742:0.660080:0.887336:0.639758:0.887336:0.000000:0.000000:0.000000
( )=–∞:@0.645483:0.904324:0.706319:0.903880:0.706319:0.886226:0.645483:0.886670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;  lim :@0.706319:0.903298:0.748985:0.903742:0.748985:0.888029:0.706319:0.887585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.718408:0.910402:0.740150:0.910402:0.740150:0.898470:0.718408:0.898470:0.000000:0.000000:0.000000
–:@0.740905:0.906239:0.744807:0.906239:0.744807:0.898753:0.740905:0.898753:0.000000
f x:@0.749979:0.903742:0.770301:0.903742:0.770301:0.887336:0.749979:0.887336:0.000000:0.000000:0.000000
( )=∞:@0.755704:0.904324:0.807336:0.903880:0.807336:0.886226:0.755704:0.886670:0.000000:0.000000:0.000000:0.000000:0.000000
 y  lim :@0.807336:0.903298:0.859333:0.903742:0.859333:0.888029:0.807336:0.887585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.828757:0.910402:0.850498:0.910402:0.850498:0.898470:0.828757:0.898470:0.000000:0.000000:0.000000
–:@0.851253:0.906239:0.855155:0.906239:0.855155:0.898753:0.851253:0.898753:0.000000
f x:@0.860327:0.903742:0.880649:0.903742:0.880649:0.887336:0.860327:0.887336:0.000000:0.000000:0.000000
( )=–∞:@0.866052:0.904324:0.926888:0.903880:0.926888:0.886226:0.866052:0.886670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.926888:0.903298:0.930919:0.903298:0.930919:0.887585:0.926888:0.887585:0.000000
los dejaremos a los estudiantes que les gustan los retos.:@0.293642:0.920952:0.695973:0.920952:0.695973:0.905239:0.293642:0.905239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Límites infinitos:@0.080269:0.809587:0.194575:0.809587:0.194575:0.794181:0.080269:0.794181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t.ly/tzwuk:@0.104936:0.930570:0.176201:0.930570:0.176201:0.914857:0.104936:0.914857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. 1. Investiga y comprende límites infinitos y en el infinito.:@0.583723:0.971366:0.919391:0.971366:0.919391:0.959939:0.583723:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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