81:@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 2:@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
Apliquemos las leyes de los límites y usemos las gráficas de   y   para calcular :@0.073089:0.164198:0.710439:0.164199:0.710439:0.148487:0.073089:0.148486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.564948:0.163884:0.569215:0.163884:0.569215:0.148970:0.564948:0.148970:0.000000
g:@0.588452:0.163884:0.596869:0.163884:0.596869:0.148970:0.588452:0.148970:0.000000
los límites siguientes (si existen).:@0.073088:0.180841:0.343967:0.180841:0.343967:0.165129:0.073088:0.165129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  lim  2:@0.073089:0.218459:0.148713:0.218609:0.148713:0.202897:0.073089:0.202747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.103290:0.225223:0.108712:0.225223:0.108712:0.213292:0.103290:0.213292:0.000000
1:@0.119462:0.225223:0.125995:0.225223:0.125995:0.213796:0.119462:0.213796:0.000000
[ ( )– ( )]:@0.134242:0.218824:0.217543:0.218824:0.217543:0.202774:0.134242:0.202774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x g x:@0.149737:0.218294:0.205210:0.218294:0.205210:0.203380:0.149737:0.203380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.225667:0.218459:0.229698:0.218459:0.229698:0.202747:0.225667:0.202747:0.000000
 :@0.253814:0.218459:0.257845:0.218459:0.257845:0.202747:0.253814:0.202747:0.000000
2.      lim :@0.314059:0.218459:0.379732:0.218609:0.379732:0.202897:0.314059:0.202747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.349784:0.225223:0.355206:0.225223:0.355206:0.213292:0.349784:0.213292:0.000000
2:@0.365955:0.225223:0.372488:0.225223:0.372488:0.213796:0.365955:0.213796:0.000000
[ ( )]:@0.380736:0.218824:0.420513:0.218824:0.420513:0.202774:0.380736:0.202774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.386225:0.218294:0.408180:0.218294:0.408180:0.203380:0.386225:0.203380:0.000000:0.000000:0.000000
4:@0.420443:0.212546:0.425679:0.212546:0.425679:0.203385:0.420443:0.203385:0.000000
   :@0.426872:0.218459:0.438571:0.218459:0.438571:0.202747:0.426872:0.202747:0.000000:0.000000:0.000000
3.      lim:@0.494776:0.218459:0.555396:0.218675:0.555396:0.202962:0.494776:0.202747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.530510:0.225257:0.535931:0.225257:0.535931:0.213326:0.530510:0.213326:0.000000
3:@0.546681:0.225257:0.553214:0.225257:0.553214:0.213830:0.546681:0.213830:0.000000
f x:@0.562965:0.210686:0.577744:0.210686:0.577744:0.198754:0.562965:0.198754:0.000000:0.000000:0.000000
( ):@0.567128:0.211109:0.582952:0.211109:0.582952:0.198270:0.567128:0.198270:0.000000:0.000000:0.000000
g x:@0.561292:0.224564:0.579391:0.224564:0.579391:0.212632:0.561292:0.212632:0.000000:0.000000:0.000000
( ):@0.568775:0.224988:0.584598:0.224988:0.584598:0.212148:0.568775:0.212148:0.000000:0.000000:0.000000
Solución::@0.073089:0.252970:0.142959:0.252970:0.142959:0.236300:0.073089:0.236300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  lim  2:@0.073089:0.287480:0.148713:0.287631:0.148713:0.271919:0.073089:0.271767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.103290:0.294244:0.108712:0.294244:0.108712:0.282312:0.103290:0.282312:0.000000
1:@0.119462:0.294244:0.125995:0.294244:0.125995:0.282817:0.119462:0.282817:0.000000
[ ( )– ( )]:@0.134242:0.287846:0.217543:0.287846:0.217543:0.271796:0.134242:0.271796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x g x:@0.149737:0.287316:0.205210:0.287316:0.205210:0.272402:0.149737:0.272402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.225667:0.288063:0.241000:0.288063:0.241000:0.270408:0.225667:0.270408:0.000000
2 lim:@0.240908:0.287480:0.280857:0.287702:0.280857:0.271989:0.240908:0.271767:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.255970:0.294244:0.261392:0.294244:0.261392:0.282312:0.255970:0.282312:0.000000
1:@0.272142:0.294244:0.278675:0.294244:0.278675:0.282817:0.272142:0.282817:0.000000
f x:@0.281866:0.287387:0.298332:0.287387:0.298332:0.272472:0.281866:0.272472:0.000000:0.000000:0.000000
( ):@0.286066:0.287916:0.303838:0.287916:0.303838:0.271867:0.286066:0.271867:0.000000:0.000000:0.000000
–:@0.306189:0.288063:0.315392:0.288063:0.315392:0.270408:0.306189:0.270408:0.000000
 lim:@0.315300:0.287480:0.344138:0.287631:0.344138:0.271919:0.315300:0.271767:0.000000:0.000000:0.000000:0.000000
x:@0.319251:0.294244:0.324673:0.294244:0.324673:0.282312:0.319251:0.282312:0.000000
1:@0.335423:0.294244:0.341956:0.294244:0.341956:0.282817:0.335423:0.282817:0.000000
g x:@0.345147:0.287316:0.365763:0.287316:0.365763:0.272402:0.345147:0.272402:0.000000:0.000000:0.000000
( ):@0.353497:0.287846:0.371268:0.287846:0.371268:0.271796:0.353497:0.271796:0.000000:0.000000:0.000000
=:@0.374214:0.288063:0.389547:0.288063:0.389547:0.270408:0.374214:0.270408:0.000000
2 0 2:@0.389455:0.287480:0.440588:0.287480:0.440588:0.271767:0.389455:0.271767:0.000000:0.000000:0.000000:0.000000:0.000000
× – =–:@0.399462:0.287694:0.463835:0.287694:0.463835:0.271645:0.399462:0.271645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.463752:0.287480:0.472734:0.287480:0.472734:0.271767:0.463752:0.271767:0.000000
2.  lim :@0.073089:0.326530:0.133239:0.326680:0.133239:0.310968:0.073089:0.310818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.103290:0.333293:0.108712:0.333293:0.108712:0.321361:0.103290:0.321361:0.000000
2:@0.119462:0.333293:0.125995:0.333293:0.125995:0.321866:0.119462:0.321866:0.000000
[ ( )]:@0.134242:0.326895:0.174018:0.326895:0.174018:0.310846:0.134242:0.310846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.139730:0.326365:0.161685:0.326365:0.161685:0.311451:0.139730:0.311451:0.000000:0.000000:0.000000
4:@0.173948:0.320617:0.179185:0.320617:0.179185:0.311456:0.173948:0.311456:0.000000
=:@0.180377:0.327113:0.195710:0.327113:0.195710:0.309459:0.180377:0.309459:0.000000
∙:@0.195618:0.333260:0.200819:0.333260:0.200819:0.310791:0.195618:0.310791:0.000000
x:@0.202107:0.333294:0.207529:0.333294:0.207529:0.321363:0.202107:0.321363:0.000000
2:@0.218279:0.333294:0.224812:0.333294:0.224812:0.321867:0.218279:0.321867:0.000000
lim :@0.202107:0.326711:0.232056:0.326711:0.232056:0.310998:0.202107:0.310998:0.000000:0.000000:0.000000:0.000000
g x:@0.233060:0.326396:0.255015:0.326396:0.255015:0.311481:0.233060:0.311481:0.000000:0.000000:0.000000
( ):@0.242080:0.326925:0.261190:0.326925:0.261190:0.310876:0.242080:0.310876:0.000000:0.000000:0.000000
∙:@0.263733:0.333260:0.268934:0.333260:0.268934:0.310791:0.263733:0.310791:0.000000
4:@0.270223:0.320467:0.275460:0.320467:0.275460:0.311306:0.270223:0.311306:0.000000
=:@0.276056:0.327113:0.291389:0.327113:0.291389:0.309459:0.276056:0.309459:0.000000
[3]:@0.292402:0.326530:0.313202:0.326530:0.313202:0.310818:0.292402:0.310818:0.000000:0.000000:0.000000
4:@0.314211:0.320467:0.319448:0.320467:0.319448:0.311306:0.314211:0.311306:0.000000
=:@0.320046:0.327113:0.335379:0.327113:0.335379:0.309459:0.320046:0.309459:0.000000
81:@0.336392:0.326530:0.355388:0.326530:0.355388:0.310818:0.336392:0.310818:0.000000:0.000000
3.  lim:@0.073089:0.374542:0.128177:0.374758:0.128177:0.359045:0.073089:0.358829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.103290:0.381340:0.108712:0.381340:0.108712:0.369408:0.103290:0.369408:0.000000
3:@0.119462:0.381340:0.125995:0.381340:0.125995:0.369913:0.119462:0.369913:0.000000
f x:@0.135746:0.366768:0.150525:0.366768:0.150525:0.354837:0.135746:0.354837:0.000000:0.000000:0.000000
( ):@0.139909:0.367192:0.155733:0.367192:0.155733:0.354353:0.139909:0.354353:0.000000:0.000000:0.000000
g x:@0.134073:0.380647:0.152172:0.380647:0.152172:0.368715:0.134073:0.368715:0.000000:0.000000:0.000000
( ):@0.141556:0.381070:0.157380:0.381070:0.157380:0.368231:0.141556:0.368231:0.000000:0.000000:0.000000
=:@0.159657:0.375125:0.174990:0.375125:0.174990:0.357470:0.159657:0.357470:0.000000
x:@0.183752:0.365496:0.189174:0.365496:0.189174:0.353565:0.183752:0.353565:0.000000
3:@0.199924:0.365496:0.206457:0.365496:0.206457:0.354069:0.199924:0.354069:0.000000
lim :@0.183752:0.358915:0.213504:0.358915:0.213504:0.343203:0.183752:0.343203:0.000000:0.000000:0.000000:0.000000
f x:@0.214069:0.358915:0.233637:0.358915:0.233637:0.342509:0.214069:0.342509:0.000000:0.000000:0.000000
( ):@0.219750:0.359130:0.240199:0.359130:0.240199:0.343080:0.219750:0.343080:0.000000:0.000000:0.000000
x:@0.179316:0.388826:0.184738:0.388826:0.184738:0.376895:0.179316:0.376895:0.000000
3:@0.195488:0.388826:0.202020:0.388826:0.202020:0.377399:0.195488:0.377399:0.000000
lim :@0.179316:0.382245:0.209265:0.382245:0.209265:0.366533:0.179316:0.366533:0.000000:0.000000:0.000000:0.000000
g x:@0.210259:0.382245:0.234513:0.382245:0.234513:0.365839:0.210259:0.365839:0.000000:0.000000:0.000000
( ):@0.220565:0.382460:0.241122:0.382460:0.241122:0.366410:0.220565:0.366410:0.000000:0.000000:0.000000
=:@0.248961:0.375125:0.264294:0.375125:0.264294:0.357470:0.248961:0.357470:0.000000
1:@0.269605:0.366030:0.277771:0.366030:0.277771:0.351745:0.269605:0.351745:0.000000
4:@0.269605:0.380843:0.277771:0.380843:0.277771:0.366559:0.269605:0.366559:0.000000
Ejemplo 3:@0.073089:0.416200:0.148872:0.416200:0.148872:0.399530:0.073089:0.399530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si lim :@0.073089:0.443562:0.121587:0.443369:0.121587:0.427656:0.073089:0.427849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.089266:0.452278:0.094688:0.452278:0.094688:0.440347:0.089266:0.440347:0.000000
–:@0.105438:0.452702:0.112131:0.452702:0.112131:0.439863:0.105438:0.439863:0.000000
1:@0.112868:0.452278:0.119401:0.452278:0.119401:0.440851:0.112868:0.440851:0.000000
f x:@0.122581:0.443369:0.142269:0.443369:0.142269:0.426963:0.122581:0.426963:0.000000:0.000000:0.000000
( ):@0.128321:0.443583:0.148880:0.443583:0.148880:0.427534:0.128321:0.427534:0.000000:0.000000:0.000000
=:@0.149853:0.444145:0.165186:0.444145:0.165186:0.426491:0.149853:0.426491:0.000000
6 y lim :@0.165094:0.443563:0.221904:0.443369:0.221904:0.427656:0.165094:0.427850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.189915:0.452278:0.195337:0.452278:0.195337:0.440347:0.189915:0.440347:0.000000
–:@0.206087:0.452702:0.212780:0.452702:0.212780:0.439863:0.206087:0.439863:0.000000
1:@0.213517:0.452278:0.220050:0.452278:0.220050:0.440851:0.213517:0.440851:0.000000
g x:@0.222364:0.443369:0.246437:0.443369:0.246437:0.426963:0.222364:0.426963:0.000000:0.000000:0.000000
( )=:@0.232590:0.443583:0.267728:0.443583:0.267728:0.427534:0.232590:0.427534:0.000000:0.000000:0.000000:0.000000
4, calculemos lim :@0.268549:0.443369:0.401143:0.443369:0.401143:0.427656:0.268549:0.427656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.370684:0.452278:0.376106:0.452278:0.376106:0.440347:0.370684:0.440347:0.000000
–:@0.386858:0.452702:0.393551:0.452702:0.393551:0.439863:0.386858:0.439863:0.000000
1:@0.394288:0.452278:0.400820:0.452278:0.400820:0.440851:0.394288:0.440851:0.000000
f x:@0.402137:0.443369:0.429991:0.443369:0.429991:0.426963:0.402137:0.426963:0.000000:0.000000:0.000000
3:@0.409351:0.437305:0.414588:0.437305:0.414588:0.428144:0.409351:0.428144:0.000000
( )√ ( ):@0.416043:0.443583:0.486031:0.443583:0.486031:0.427534:0.416043:0.427534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.455177:0.443369:0.479421:0.443369:0.479421:0.426963:0.455177:0.426963:0.000000:0.000000:0.000000
.:@0.486108:0.443563:0.489311:0.443563:0.489311:0.427850:0.486108:0.427850:0.000000
Solución::@0.073086:0.485223:0.142956:0.485223:0.142956:0.468553:0.073086:0.468553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.073089:0.528865:0.078511:0.528865:0.078511:0.516933:0.073089:0.516933:0.000000
–:@0.089261:0.529288:0.095954:0.529288:0.095954:0.516449:0.089261:0.516449:0.000000
1:@0.096690:0.528865:0.103223:0.528865:0.103223:0.517437:0.096690:0.517437:0.000000
lim :@0.073599:0.519954:0.103547:0.519954:0.103547:0.504241:0.073599:0.504241:0.000000:0.000000:0.000000:0.000000
f x:@0.104541:0.519954:0.132395:0.519954:0.132395:0.503548:0.104541:0.503548:0.000000:0.000000:0.000000
3:@0.111755:0.513890:0.116992:0.513890:0.116992:0.504730:0.111755:0.504730:0.000000
( )√ ( ):@0.118447:0.520168:0.188436:0.520168:0.188436:0.504119:0.118447:0.504119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.157580:0.519954:0.181824:0.519954:0.181824:0.503548:0.157580:0.503548:0.000000:0.000000:0.000000
=:@0.188511:0.520732:0.203844:0.520732:0.203844:0.503078:0.188511:0.503078:0.000000
∙:@0.203752:0.527247:0.209325:0.527247:0.209325:0.503173:0.203752:0.503173:0.000000
x:@0.210705:0.528865:0.216127:0.528865:0.216127:0.516933:0.210705:0.516933:0.000000
–:@0.226877:0.529288:0.233570:0.529288:0.233570:0.516449:0.226877:0.516449:0.000000
1:@0.234307:0.528865:0.240840:0.528865:0.240840:0.517437:0.234307:0.517437:0.000000
lim :@0.211216:0.519954:0.241164:0.519954:0.241164:0.504241:0.211216:0.504241:0.000000:0.000000:0.000000:0.000000
f x:@0.242158:0.519954:0.261847:0.519954:0.261847:0.503548:0.242158:0.503548:0.000000:0.000000:0.000000
( ):@0.247900:0.520168:0.268457:0.520168:0.268457:0.504119:0.247900:0.504119:0.000000:0.000000:0.000000
∙ ∙:@0.270800:0.527247:0.292106:0.527247:0.292106:0.503173:0.270800:0.503173:0.000000:0.000000:0.000000
3 :@0.277753:0.514086:0.285941:0.514086:0.285941:0.504925:0.277753:0.504925:0.000000:0.000000
x:@0.293486:0.528865:0.298908:0.528865:0.298908:0.516933:0.293486:0.516933:0.000000
–:@0.309658:0.529288:0.316351:0.529288:0.316351:0.516449:0.309658:0.516449:0.000000
1:@0.317088:0.528865:0.323620:0.528865:0.323620:0.517437:0.317088:0.517437:0.000000
lim :@0.293996:0.519954:0.323945:0.519954:0.323945:0.504241:0.293996:0.504241:0.000000:0.000000:0.000000:0.000000
√ ( ):@0.324947:0.520168:0.373457:0.520168:0.373457:0.504119:0.324947:0.504119:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.342602:0.519954:0.366847:0.519954:0.366847:0.503548:0.342602:0.503548:0.000000:0.000000:0.000000
∙=:@0.374185:0.527615:0.403905:0.527615:0.403905:0.501937:0.374185:0.501937:0.000000:0.000000
[ ] [√ ]=:@0.405377:0.520732:0.495290:0.520732:0.495290:0.503078:0.405377:0.503078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.412519:0.520149:0.421502:0.520149:0.421502:0.504437:0.412519:0.504437:0.000000
3 :@0.429668:0.514086:0.437856:0.514086:0.437856:0.504925:0.429668:0.504925:0.000000:0.000000
4:@0.463905:0.520149:0.472888:0.520149:0.472888:0.504437:0.463905:0.504437:0.000000
216 2 432.:@0.496302:0.520149:0.594542:0.520149:0.594542:0.504437:0.496302:0.504437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
× =:@0.523011:0.520732:0.563599:0.520732:0.563599:0.503078:0.523011:0.503078:0.000000:0.000000:0.000000
2.2 Evaluación de límites por sustitución:@0.073101:0.572530:0.388612:0.572530:0.388612:0.555583:0.073101:0.555583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema de sustitución:@0.087319:0.598539:0.263854:0.598539:0.263854:0.581869:0.087319:0.581869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  es una función polinómica o racional, entonces lim :@0.087319:0.622329:0.486962:0.622134:0.486962:0.606421:0.087319:0.606616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f :@0.103499:0.622329:0.111433:0.622329:0.111433:0.605923:0.103499:0.605923:0.000000:0.000000
x a:@0.457210:0.628715:0.480116:0.628715:0.480116:0.616783:0.457210:0.616783:0.000000:0.000000:0.000000
f x:@0.487527:0.622134:0.507094:0.622134:0.507094:0.605727:0.487527:0.605727:0.000000:0.000000:0.000000
( ):@0.493208:0.622348:0.513657:0.622348:0.513657:0.606299:0.493208:0.606299:0.000000:0.000000:0.000000
=:@0.514681:0.622911:0.530014:0.622911:0.530014:0.605257:0.514681:0.605257:0.000000
f a:@0.531027:0.622329:0.552510:0.622329:0.552510:0.605923:0.531027:0.605923:0.000000:0.000000:0.000000
( ):@0.536758:0.622543:0.559119:0.622543:0.559119:0.606494:0.536758:0.606494:0.000000:0.000000:0.000000
, siempre que :@0.560040:0.622329:0.664276:0.622329:0.664276:0.606616:0.560040:0.606616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f a:@0.664133:0.622329:0.683502:0.622329:0.683502:0.605923:0.664133:0.605923:0.000000:0.000000:0.000000
( ) :@0.668755:0.622543:0.693109:0.622543:0.693109:0.606494:0.668755:0.606494:0.000000:0.000000:0.000000:0.000000
esté definido.:@0.693026:0.622329:0.790387:0.622329:0.790387:0.606616:0.693026:0.606616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   es racional, el valor del denominador en   no puede ser cero, si tanto la imagen de a en el polinomio del :@0.087316:0.646113:0.917430:0.646113:0.917430:0.630400:0.087316:0.630400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.105227:0.646113:0.109921:0.646113:0.109921:0.629707:0.105227:0.629707:0.000000
a:@0.424482:0.646113:0.433741:0.646113:0.433741:0.629707:0.424482:0.629707:0.000000
numerador y del denominador son cero (0), entonces los dos polinomios se deben factorizar, simplificar y evaluar :@0.087316:0.662755:0.917817:0.662755:0.917817:0.647042:0.087316:0.647042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la simplificación, para obtener así el valor del límite de la función racional.:@0.087319:0.679402:0.639500:0.679402:0.639500:0.663689:0.087319:0.663689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4. :@0.073089:0.719347:0.156437:0.719347:0.156437:0.702677:0.073089:0.702677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluar:@0.156308:0.719347:0.208504:0.719347:0.208504:0.703634:0.156308:0.703634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  lim 3:@0.073089:0.753857:0.146810:0.754395:0.146810:0.738682:0.073089:0.738145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.103290:0.763342:0.108712:0.763342:0.108712:0.751410:0.103290:0.751410:0.000000
–:@0.119462:0.763766:0.126156:0.763766:0.126156:0.750926:0.119462:0.750926:0.000000
2:@0.126892:0.763342:0.133425:0.763342:0.133425:0.751915:0.126892:0.751915:0.000000
x:@0.147804:0.754395:0.155259:0.754395:0.155259:0.737988:0.147804:0.737988:0.000000
2:@0.156299:0.748567:0.161059:0.748567:0.161059:0.740239:0.156299:0.740239:0.000000
–:@0.164794:0.754440:0.173998:0.754440:0.173998:0.736786:0.164794:0.736786:0.000000
5:@0.173906:0.753857:0.182889:0.753857:0.182889:0.738145:0.173906:0.738145:0.000000
x:@0.182815:0.753857:0.190270:0.753857:0.190270:0.737451:0.182815:0.737451:0.000000
+:@0.190196:0.754072:0.204136:0.754072:0.204136:0.738022:0.190196:0.738022:0.000000
20:@0.204052:0.753857:0.221944:0.753857:0.221944:0.738145:0.204052:0.738145:0.000000:0.000000
Entonces,  lim 3:@0.073084:0.788362:0.190518:0.788905:0.190518:0.773192:0.073084:0.772649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.146998:0.797852:0.152420:0.797852:0.152420:0.785921:0.146998:0.785921:0.000000
–:@0.163169:0.798276:0.169863:0.798276:0.169863:0.785437:0.163169:0.785437:0.000000
2:@0.170599:0.797852:0.177132:0.797852:0.177132:0.786425:0.170599:0.786425:0.000000
x:@0.191512:0.788905:0.198967:0.788905:0.198967:0.772499:0.191512:0.772499:0.000000
2:@0.200006:0.783077:0.204766:0.783077:0.204766:0.774749:0.200006:0.774749:0.000000
–:@0.209606:0.788950:0.218810:0.788950:0.218810:0.771296:0.209606:0.771296:0.000000
5:@0.219822:0.788368:0.228805:0.788368:0.228805:0.772655:0.219822:0.772655:0.000000
x:@0.229835:0.788368:0.237290:0.788368:0.237290:0.771962:0.229835:0.771962:0.000000
+:@0.238321:0.788582:0.252261:0.788582:0.252261:0.772533:0.238321:0.772533:0.000000
20 3 2:@0.253181:0.788368:0.324310:0.788368:0.324310:0.772655:0.253181:0.772655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.273190:0.788950:0.288523:0.788950:0.288523:0.771296:0.273190:0.771296:0.000000
(– ) – (– )+:@0.299547:0.788582:0.403172:0.788582:0.403172:0.772533:0.299547:0.772533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.331825:0.782304:0.337062:0.782304:0.337062:0.773143:0.331825:0.773143:0.000000
5 2:@0.346947:0.788368:0.381717:0.788368:0.381717:0.772655:0.346947:0.772655:0.000000:0.000000:0.000000
20 12 10 20 42:@0.404092:0.788368:0.562580:0.788368:0.562580:0.772655:0.404092:0.772655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.424106:0.788582:0.438045:0.788582:0.438045:0.772533:0.424106:0.772533:0.000000
+:@0.458979:0.788582:0.472918:0.788582:0.472918:0.772533:0.458979:0.772533:0.000000
+:@0.493851:0.788582:0.507790:0.788582:0.507790:0.772533:0.493851:0.772533:0.000000
=:@0.528724:0.788582:0.542663:0.788582:0.542663:0.772533:0.528724:0.772533:0.000000
b.  lim:@0.073089:0.828633:0.128177:0.826202:0.128177:0.810489:0.073089:0.812921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.103290:0.832784:0.108712:0.832784:0.108712:0.820852:0.103290:0.820852:0.000000
1:@0.119462:0.832784:0.125995:0.832784:0.125995:0.821356:0.119462:0.821356:0.000000
5:@0.135016:0.822615:0.143999:0.822615:0.143999:0.806902:0.135016:0.806902:0.000000
x:@0.145030:0.822615:0.152485:0.822615:0.152485:0.806209:0.145030:0.806209:0.000000
2:@0.153516:0.816551:0.158753:0.816551:0.158753:0.807390:0.153516:0.807390:0.000000
–:@0.159349:0.823197:0.168553:0.823197:0.168553:0.805543:0.159349:0.805543:0.000000
3:@0.169565:0.822615:0.178548:0.822615:0.178548:0.806902:0.169565:0.806902:0.000000
x:@0.179579:0.822615:0.187034:0.822615:0.187034:0.806209:0.179579:0.806209:0.000000
+:@0.188064:0.823197:0.203398:0.823197:0.203398:0.805543:0.188064:0.805543:0.000000
2:@0.204410:0.822615:0.213393:0.822615:0.213393:0.806902:0.204410:0.806902:0.000000
x:@0.154379:0.839950:0.161834:0.839950:0.161834:0.823544:0.154379:0.823544:0.000000
2:@0.162870:0.833887:0.168107:0.833887:0.168107:0.824727:0.162870:0.824727:0.000000
+:@0.168705:0.840534:0.184038:0.840534:0.184038:0.822879:0.168705:0.822879:0.000000
1:@0.185051:0.839951:0.194033:0.839951:0.194033:0.824239:0.185051:0.824239:0.000000
Entonces,  lim:@0.073098:0.868991:0.171884:0.866554:0.171884:0.850842:0.073098:0.853279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.146998:0.873135:0.152420:0.873135:0.152420:0.861204:0.146998:0.861204:0.000000
1:@0.163169:0.873135:0.169702:0.873135:0.169702:0.861708:0.163169:0.861708:0.000000
5:@0.178724:0.862967:0.187706:0.862967:0.187706:0.847255:0.178724:0.847255:0.000000
x:@0.188737:0.862967:0.196192:0.862967:0.196192:0.846561:0.188737:0.846561:0.000000
2:@0.197223:0.856904:0.202460:0.856904:0.202460:0.847743:0.197223:0.847743:0.000000
–:@0.203056:0.863550:0.212260:0.863550:0.212260:0.845896:0.203056:0.845896:0.000000
3:@0.213272:0.862967:0.222255:0.862967:0.222255:0.847255:0.213272:0.847255:0.000000
x:@0.223286:0.862967:0.230741:0.862967:0.230741:0.846561:0.223286:0.846561:0.000000
+:@0.231772:0.863550:0.247105:0.863550:0.247105:0.845896:0.231772:0.845896:0.000000
2:@0.248117:0.862967:0.257100:0.862967:0.257100:0.847255:0.248117:0.847255:0.000000
x:@0.198086:0.880303:0.205541:0.880303:0.205541:0.863897:0.198086:0.863897:0.000000
2:@0.206577:0.874239:0.211814:0.874239:0.211814:0.865078:0.206577:0.865078:0.000000
+:@0.212412:0.880885:0.227745:0.880885:0.227745:0.863231:0.212412:0.863231:0.000000
1:@0.228758:0.880303:0.237741:0.880303:0.237741:0.864590:0.228758:0.864590:0.000000
=:@0.260437:0.869569:0.275770:0.869569:0.275770:0.851914:0.260437:0.851914:0.000000
5 1:@0.280926:0.862880:0.305404:0.862880:0.305404:0.847168:0.280926:0.847168:0.000000:0.000000:0.000000
( ):@0.290933:0.863095:0.311999:0.863095:0.311999:0.847045:0.290933:0.847045:0.000000:0.000000:0.000000
2:@0.311915:0.856816:0.317152:0.856816:0.317152:0.847656:0.311915:0.847656:0.000000
–:@0.317750:0.863463:0.326954:0.863463:0.326954:0.845809:0.317750:0.845809:0.000000
3 1:@0.327966:0.862880:0.352445:0.862880:0.352445:0.847168:0.327966:0.847168:0.000000:0.000000:0.000000
( ):@0.337973:0.863095:0.359039:0.863095:0.359039:0.847045:0.337973:0.847045:0.000000:0.000000:0.000000
+:@0.358956:0.863463:0.374289:0.863463:0.374289:0.845809:0.358956:0.845809:0.000000
2:@0.375301:0.862880:0.384284:0.862880:0.384284:0.847168:0.375301:0.847168:0.000000
( ):@0.306532:0.880430:0.327600:0.880430:0.327600:0.864381:0.306532:0.864381:0.000000:0.000000:0.000000
1:@0.312021:0.880216:0.321003:0.880216:0.321003:0.864503:0.312021:0.864503:0.000000
2:@0.327516:0.874152:0.332753:0.874152:0.332753:0.864991:0.327516:0.864991:0.000000
+:@0.333350:0.880798:0.348683:0.880798:0.348683:0.863144:0.333350:0.863144:0.000000
1:@0.349695:0.880216:0.358678:0.880216:0.358678:0.864503:0.349695:0.864503:0.000000
=:@0.389455:0.869565:0.404788:0.869565:0.404788:0.851911:0.389455:0.851911:0.000000
5 3 2:@0.407748:0.862880:0.463320:0.862880:0.463320:0.847168:0.407748:0.847168:0.000000:0.000000:0.000000:0.000000:0.000000
– +:@0.417762:0.863463:0.453325:0.863463:0.453325:0.845809:0.417762:0.845809:0.000000:0.000000:0.000000
1 1:@0.417872:0.880216:0.453214:0.880216:0.453214:0.864503:0.417872:0.864503:0.000000:0.000000:0.000000
+:@0.427886:0.880798:0.443219:0.880798:0.443219:0.863144:0.427886:0.863144:0.000000
=:@0.466320:0.869565:0.481653:0.869565:0.481653:0.851911:0.466320:0.851911:0.000000
4:@0.488906:0.863217:0.497889:0.863217:0.497889:0.847504:0.488906:0.847504:0.000000
2:@0.488906:0.878985:0.497889:0.878985:0.497889:0.863272:0.488906:0.863272:0.000000
=:@0.505675:0.869569:0.521008:0.869569:0.521008:0.851914:0.505675:0.851914:0.000000
2.:@0.520916:0.868986:0.533028:0.868986:0.533028:0.853273:0.520916:0.853273:0.000000:0.000000
c.  lim:@0.073089:0.909943:0.130549:0.907512:0.130549:0.891799:0.073089:0.894230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.103290:0.916423:0.108712:0.916423:0.108712:0.904491:0.103290:0.904491:0.000000
–:@0.119407:0.916847:0.126100:0.916847:0.126100:0.904007:0.119407:0.904007:0.000000
1:@0.126796:0.916423:0.133329:0.916423:0.133329:0.904996:0.126796:0.904996:0.000000
2:@0.140241:0.903925:0.149223:0.903925:0.149223:0.888212:0.140241:0.888212:0.000000
x:@0.150254:0.903925:0.157709:0.903925:0.157709:0.887519:0.150254:0.887519:0.000000
3:@0.158740:0.897861:0.163977:0.897861:0.163977:0.888701:0.158740:0.888701:0.000000
–:@0.164573:0.904507:0.173777:0.904507:0.173777:0.886853:0.164573:0.886853:0.000000
10:@0.174789:0.903925:0.193786:0.903925:0.193786:0.888212:0.174789:0.888212:0.000000:0.000000
x:@0.150253:0.921260:0.157707:0.921260:0.157707:0.904854:0.150253:0.904854:0.000000
2:@0.158740:0.915197:0.163977:0.915197:0.163977:0.906036:0.158740:0.906036:0.000000
–:@0.164573:0.921843:0.173777:0.921843:0.173777:0.904189:0.164573:0.904189:0.000000
5:@0.174789:0.921261:0.183772:0.921261:0.183772:0.905548:0.174789:0.905548:0.000000
=:@0.197762:0.910527:0.213095:0.910527:0.213095:0.892873:0.197762:0.892873:0.000000
2 1:@0.218537:0.903838:0.251298:0.903838:0.251298:0.888125:0.218537:0.888125:0.000000:0.000000:0.000000
(– ):@0.228544:0.904052:0.257895:0.904052:0.257895:0.888003:0.228544:0.888003:0.000000:0.000000:0.000000:0.000000
3:@0.257811:0.897774:0.263048:0.897774:0.263048:0.888614:0.257811:0.888614:0.000000
–:@0.263645:0.904421:0.272848:0.904421:0.272848:0.886766:0.263645:0.886766:0.000000
10:@0.273861:0.903838:0.292857:0.903838:0.292857:0.888125:0.273861:0.888125:0.000000:0.000000
(– ):@0.228544:0.921388:0.257895:0.921388:0.257895:0.905339:0.228544:0.905339:0.000000:0.000000:0.000000:0.000000
1:@0.242316:0.921174:0.251298:0.921174:0.251298:0.905461:0.242316:0.905461:0.000000
2:@0.257811:0.915110:0.263048:0.915110:0.263048:0.905950:0.257811:0.905950:0.000000
–:@0.263645:0.921756:0.272848:0.921756:0.272848:0.904102:0.263645:0.904102:0.000000
5:@0.273861:0.921174:0.282843:0.921174:0.282843:0.905461:0.273861:0.905461:0.000000
=:@0.298305:0.910523:0.313639:0.910523:0.313639:0.892869:0.298305:0.892869:0.000000
– –:@0.319671:0.904421:0.349104:0.904421:0.349104:0.886766:0.319671:0.886766:0.000000:0.000000:0.000000
2 10:@0.329887:0.903838:0.369113:0.903838:0.369113:0.888125:0.329887:0.888125:0.000000:0.000000:0.000000:0.000000
1 5:@0.329795:0.921173:0.359008:0.921173:0.359008:0.905461:0.329795:0.905461:0.000000:0.000000:0.000000
–:@0.339809:0.921756:0.349012:0.921756:0.349012:0.904102:0.339809:0.904102:0.000000
=:@0.375169:0.910523:0.390502:0.910523:0.390502:0.892868:0.375169:0.892868:0.000000
–:@0.394768:0.903815:0.403971:0.903815:0.403971:0.886160:0.394768:0.886160:0.000000
12:@0.404984:0.903232:0.423980:0.903232:0.423980:0.887519:0.404984:0.887519:0.000000:0.000000
–:@0.399775:0.922786:0.408978:0.922786:0.408978:0.905132:0.399775:0.905132:0.000000
4:@0.409991:0.922204:0.418973:0.922204:0.418973:0.906491:0.409991:0.906491:0.000000
=:@0.428287:0.910527:0.443621:0.910527:0.443621:0.892873:0.428287:0.892873:0.000000
3.:@0.443529:0.909944:0.455641:0.909944:0.455641:0.894232:0.443529:0.894232:0.000000:0.000000
0:@0.728125:0.364971:0.734658:0.364971:0.734658:0.353543:0.728125:0.353543:0.000000
2:@0.822946:0.364971:0.829479:0.364971:0.829479:0.353543:0.822946:0.353543:0.000000
4:@0.909051:0.364971:0.915584:0.364971:0.915584:0.353543:0.909051:0.353543:0.000000
2:@0.728125:0.288005:0.734658:0.288005:0.734658:0.276577:0.728125:0.276577:0.000000
4:@0.728125:0.219592:0.734658:0.219592:0.734658:0.208164:0.728125:0.208164:0.000000
-2:@0.647493:0.364971:0.658015:0.364971:0.658015:0.353543:0.647493:0.353543:0.000000:0.000000
g:@0.793922:0.254460:0.803181:0.254460:0.803181:0.238054:0.793922:0.238054:0.000000
f:@0.860778:0.271227:0.865471:0.271227:0.865471:0.254821:0.860778:0.254821:0.000000
Propiedades de :@0.741982:0.800654:0.857029:0.800654:0.857029:0.785247:0.741982:0.785247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los límites:@0.741984:0.817296:0.813938:0.817296:0.813938:0.801889:0.741984:0.801889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t.ly/iPGbD:@0.765617:0.930570:0.838952:0.930570:0.838952:0.914857:0.765617:0.914857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 2.1:@0.748241:0.412433:0.822194:0.412433:0.822194:0.395763:0.748241:0.395763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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