80:@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
Tema 2. Cálculo de límites a partir de las leyes de los límites:@0.073089:0.097734:0.904438:0.097734:0.904438:0.068055:0.073089:0.068055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4+1 11:@0.173422:0.190086:0.208472:0.190086:0.208472:0.178988:0.173422:0.178988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4x +3:@0.126497:0.161519:0.154647:0.161519:0.154647:0.150420:0.126497:0.150420:0.000000:0.000000:0.000000:0.000000:0.000000
2 +4:@0.171363:0.136312:0.193839:0.136312:0.193839:0.125214:0.171363:0.125214:0.000000:0.000000:0.000000:0.000000
limit:@0.131473:0.146404:0.154378:0.146404:0.154378:0.135306:0.131473:0.135306:0.000000:0.000000:0.000000:0.000000:0.000000
f’ - x:@0.123526:0.132952:0.144029:0.132952:0.144029:0.121853:0.123526:0.121853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
as x:@0.128316:0.149188:0.139192:0.149188:0.139192:0.142846:0.128316:0.142846:0.000000:0.000000:0.000000:0.000000
x x tegds to 4:@0.116215:0.152369:0.159633:0.152913:0.159633:0.146571:0.116215:0.146028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.116215:0.181298:0.119457:0.181298:0.119457:0.174956:0.116215:0.174956:0.000000
tegds to 4 g 3:@0.167793:0.201948:0.214197:0.201948:0.214197:0.195606:0.167793:0.195606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 2:@0.122127:0.201948:0.134795:0.201948:0.134795:0.195606:0.122127:0.195606:0.000000:0.000000:0.000000
2:@0.114989:0.166496:0.119479:0.166496:0.119479:0.158569:0.114989:0.158569:0.000000
2:@0.215008:0.166496:0.219499:0.166496:0.219499:0.158569:0.215008:0.158569:0.000000
as s x:@0.145015:0.201948:0.160149:0.201948:0.160149:0.195606:0.145015:0.195606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
as 22x + 3:@0.124431:0.136915:0.153227:0.136915:0.153227:0.130573:0.124431:0.130573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.1 Leyes de los límites:@0.293660:0.229754:0.471999:0.229754:0.471999:0.212807:0.293660:0.212807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Empecemos por considerar que los límites lim :@0.293660:0.257116:0.648537:0.256922:0.648537:0.241210:0.293660:0.241404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.618786:0.263503:0.641691:0.263503:0.641691:0.251572:0.618786:0.251572:0.000000:0.000000:0.000000
f x:@0.649103:0.256922:0.668671:0.256922:0.668671:0.240516:0.649103:0.240516:0.000000:0.000000:0.000000
( ):@0.654784:0.257137:0.675232:0.257137:0.675232:0.241087:0.654784:0.241087:0.000000:0.000000:0.000000
 y lim :@0.675338:0.257118:0.723628:0.256922:0.723628:0.241210:0.675338:0.241405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.693680:0.263503:0.716585:0.263503:0.716585:0.251572:0.693680:0.251572:0.000000:0.000000:0.000000
g x:@0.724530:0.256922:0.748768:0.256922:0.748768:0.240516:0.724530:0.240516:0.000000:0.000000:0.000000
( ):@0.734820:0.257137:0.755378:0.257137:0.755378:0.241087:0.734820:0.241087:0.000000:0.000000:0.000000
 existen y que   es una :@0.755483:0.257118:0.930949:0.257118:0.930949:0.241405:0.755483:0.241405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.865605:0.256802:0.872483:0.256802:0.872483:0.241888:0.865605:0.241888:0.000000
constante y   un entero positivo.:@0.293653:0.273759:0.530263:0.273759:0.530263:0.258047:0.293653:0.258047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.382005:0.273444:0.390640:0.273444:0.390640:0.258530:0.382005:0.258530:0.000000
1.  lim  :@0.293660:0.308270:0.360606:0.308074:0.360606:0.292362:0.293660:0.292557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.323861:0.314655:0.346767:0.314655:0.346767:0.302724:0.323861:0.302724:0.000000:0.000000:0.000000
k:@0.349757:0.307759:0.356635:0.307759:0.356635:0.292845:0.349757:0.292845:0.000000
f x:@0.361636:0.308074:0.381310:0.308074:0.381310:0.291668:0.361636:0.291668:0.000000:0.000000:0.000000
( ):@0.367363:0.308289:0.387920:0.308289:0.387920:0.292239:0.367363:0.292239:0.000000:0.000000:0.000000
=:@0.387974:0.308852:0.403307:0.308852:0.403307:0.291198:0.387974:0.291198:0.000000
x a:@0.413788:0.314655:0.436693:0.314655:0.436693:0.302724:0.413788:0.302724:0.000000:0.000000:0.000000
k :@0.403215:0.307759:0.413038:0.307759:0.413038:0.292845:0.403215:0.292845:0.000000:0.000000
lim :@0.412984:0.308074:0.442933:0.308074:0.442933:0.292362:0.412984:0.292362:0.000000:0.000000:0.000000:0.000000
f x:@0.443927:0.308074:0.463616:0.308074:0.463616:0.291668:0.443927:0.291668:0.000000:0.000000:0.000000
( ):@0.449668:0.308289:0.470226:0.308289:0.470226:0.292239:0.449668:0.292239:0.000000:0.000000:0.000000
2.  lim:@0.293660:0.342780:0.348748:0.342784:0.348748:0.327071:0.293660:0.327068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.323861:0.349544:0.346767:0.349544:0.346767:0.337612:0.323861:0.337612:0.000000:0.000000:0.000000
k:@0.349757:0.342469:0.356635:0.342469:0.356635:0.327554:0.349757:0.327554:0.000000
=:@0.360224:0.343363:0.375557:0.343363:0.375557:0.325708:0.360224:0.325708:0.000000
k:@0.375465:0.342780:0.383031:0.342780:0.383031:0.326374:0.375465:0.326374:0.000000
3.  lim:@0.293660:0.377291:0.348748:0.377294:0.348748:0.361582:0.293660:0.361578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.323861:0.384054:0.346767:0.384054:0.346767:0.372123:0.323861:0.372123:0.000000:0.000000:0.000000
x:@0.349757:0.376979:0.356534:0.376979:0.356534:0.362065:0.349757:0.362065:0.000000
=:@0.360224:0.377873:0.375557:0.377873:0.375557:0.360219:0.360224:0.360219:0.000000
a:@0.375465:0.377291:0.384724:0.377291:0.384724:0.360884:0.375465:0.360884:0.000000
4.  lim :@0.293660:0.411802:0.353810:0.411952:0.353810:0.396240:0.293660:0.396090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.323861:0.418565:0.346767:0.418565:0.346767:0.406633:0.323861:0.406633:0.000000:0.000000:0.000000
[ ( )+ ( )]:@0.354812:0.412167:0.427655:0.412167:0.427655:0.396117:0.354812:0.396117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.360301:0.411637:0.376767:0.411637:0.376767:0.396722:0.360301:0.396722:0.000000:0.000000:0.000000
g x:@0.396045:0.411637:0.416661:0.411637:0.416661:0.396722:0.396045:0.396722:0.000000:0.000000:0.000000
=:@0.430190:0.412385:0.445523:0.412385:0.445523:0.394730:0.430190:0.394730:0.000000
x a:@0.445431:0.418565:0.468337:0.418565:0.468337:0.406633:0.445431:0.406633:0.000000:0.000000:0.000000
lim:@0.445431:0.412024:0.470318:0.412024:0.470318:0.396311:0.445431:0.396311:0.000000:0.000000:0.000000
f x:@0.471329:0.411709:0.487795:0.411709:0.487795:0.396794:0.471329:0.396794:0.000000:0.000000:0.000000
( ):@0.475529:0.412238:0.493300:0.412238:0.493300:0.396189:0.475529:0.396189:0.000000:0.000000:0.000000
+:@0.495651:0.412385:0.510985:0.412385:0.510985:0.394730:0.495651:0.394730:0.000000
x a:@0.510892:0.418565:0.533798:0.418565:0.533798:0.406633:0.510892:0.406633:0.000000:0.000000:0.000000
lim:@0.510892:0.411952:0.535779:0.411952:0.535779:0.396240:0.510892:0.396240:0.000000:0.000000:0.000000
g x:@0.536788:0.411637:0.557404:0.411637:0.557404:0.396722:0.536788:0.396722:0.000000:0.000000:0.000000
( ):@0.545138:0.412167:0.562910:0.412167:0.562910:0.396117:0.545138:0.396117:0.000000:0.000000:0.000000
5.  lim :@0.293660:0.446313:0.353258:0.446463:0.353258:0.430750:0.293660:0.430600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.323861:0.453076:0.346767:0.453076:0.346767:0.441145:0.323861:0.441145:0.000000:0.000000:0.000000
[ ( )– ( )]:@0.354076:0.446677:0.429713:0.446677:0.429713:0.430628:0.354076:0.430628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x g x:@0.360401:0.446147:0.417046:0.446147:0.417046:0.431233:0.360401:0.431233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.430190:0.446895:0.445523:0.446895:0.445523:0.429241:0.430190:0.429241:0.000000
x a:@0.445431:0.453076:0.468337:0.453076:0.468337:0.441145:0.445431:0.441145:0.000000:0.000000:0.000000
lim:@0.445431:0.446534:0.470318:0.446534:0.470318:0.430822:0.445431:0.430822:0.000000:0.000000:0.000000
f x:@0.471329:0.446219:0.487795:0.446219:0.487795:0.431305:0.471329:0.431305:0.000000:0.000000:0.000000
( ):@0.475529:0.446749:0.493300:0.446749:0.493300:0.430699:0.475529:0.430699:0.000000:0.000000:0.000000
   lim:@0.495651:0.446313:0.537550:0.446463:0.537550:0.430750:0.495651:0.430600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.499609:0.446895:0.508812:0.446895:0.508812:0.429241:0.499609:0.429241:0.000000
x a:@0.512663:0.453076:0.535568:0.453076:0.535568:0.441145:0.512663:0.441145:0.000000:0.000000:0.000000
g x:@0.538560:0.446147:0.559176:0.446147:0.559176:0.431233:0.538560:0.431233:0.000000:0.000000:0.000000
( ):@0.546910:0.446677:0.564682:0.446677:0.564682:0.430628:0.546910:0.430628:0.000000:0.000000:0.000000
6.  lim :@0.293660:0.480823:0.353810:0.480973:0.353810:0.465260:0.293660:0.465110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.323861:0.487587:0.346767:0.487587:0.346767:0.475655:0.323861:0.475655:0.000000:0.000000:0.000000
f x g x:@0.354812:0.480658:0.401416:0.480658:0.401416:0.465743:0.354812:0.465743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  ( ):@0.359013:0.481187:0.406922:0.481187:0.406922:0.465138:0.359013:0.465138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.430190:0.481405:0.445523:0.481405:0.445523:0.463751:0.430190:0.463751:0.000000
x a:@0.445431:0.487587:0.468337:0.487587:0.468337:0.475655:0.445431:0.475655:0.000000:0.000000:0.000000
lim:@0.445431:0.481045:0.470318:0.481045:0.470318:0.465332:0.445431:0.465332:0.000000:0.000000:0.000000
f x:@0.471329:0.480730:0.487795:0.480730:0.487795:0.465815:0.471329:0.465815:0.000000:0.000000:0.000000
( ):@0.475529:0.481259:0.493300:0.481259:0.493300:0.465210:0.475529:0.465210:0.000000:0.000000:0.000000
 :@0.495651:0.481405:0.500253:0.481405:0.500253:0.463751:0.495651:0.463751:0.000000
x a:@0.500161:0.487587:0.523066:0.487587:0.523066:0.475655:0.500161:0.475655:0.000000:0.000000:0.000000
lim:@0.500161:0.480973:0.525048:0.480973:0.525048:0.465260:0.500161:0.465260:0.000000:0.000000:0.000000
g x:@0.526057:0.480658:0.546673:0.480658:0.546673:0.465743:0.526057:0.465743:0.000000:0.000000:0.000000
( ):@0.534407:0.481187:0.552178:0.481187:0.552178:0.465138:0.534407:0.465138:0.000000:0.000000:0.000000
7.  lim:@0.293660:0.528835:0.348748:0.529051:0.348748:0.513339:0.293660:0.513122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a g x:@0.323861:0.535633:0.372743:0.534940:0.372743:0.523009:0.323861:0.523701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.356317:0.521062:0.371096:0.521062:0.371096:0.509130:0.356317:0.509130:0.000000:0.000000:0.000000
( ):@0.360480:0.521486:0.376304:0.521486:0.376304:0.508646:0.360480:0.508646:0.000000:0.000000:0.000000
( ):@0.362127:0.535364:0.377950:0.535364:0.377950:0.522525:0.362127:0.522525:0.000000:0.000000:0.000000
=:@0.380228:0.529417:0.395561:0.529417:0.395561:0.511763:0.380228:0.511763:0.000000
x a:@0.404323:0.519790:0.427228:0.519790:0.427228:0.507858:0.404323:0.507858:0.000000:0.000000:0.000000
lim :@0.404323:0.513209:0.434075:0.513209:0.434075:0.497496:0.404323:0.497496:0.000000:0.000000:0.000000:0.000000
f x:@0.434640:0.513209:0.454208:0.513209:0.454208:0.496803:0.434640:0.496803:0.000000:0.000000:0.000000
( ):@0.440321:0.513423:0.460770:0.513423:0.460770:0.497374:0.440321:0.497374:0.000000:0.000000:0.000000
x a:@0.399887:0.543120:0.422792:0.543120:0.422792:0.531188:0.399887:0.531188:0.000000:0.000000:0.000000
lim :@0.399887:0.536539:0.429835:0.536539:0.429835:0.520826:0.399887:0.520826:0.000000:0.000000:0.000000:0.000000
g x:@0.430829:0.536539:0.455083:0.536539:0.455083:0.520133:0.430829:0.520133:0.000000:0.000000:0.000000
( ):@0.441136:0.536753:0.461693:0.536753:0.461693:0.520704:0.441136:0.520704:0.000000:0.000000:0.000000
Si consideramos la ley 6 y que :@0.293660:0.563346:0.514116:0.563346:0.514116:0.547634:0.293660:0.547634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.513829:0.563346:0.534151:0.563346:0.534151:0.546940:0.513829:0.546940:0.000000:0.000000:0.000000
( )= ( ):@0.519554:0.563929:0.589612:0.563929:0.589612:0.546275:0.519554:0.546275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.557565:0.563346:0.582452:0.563346:0.582452:0.546940:0.557565:0.546940:0.000000:0.000000:0.000000
, podemos concluir lo que sigue::@0.590624:0.563346:0.826366:0.563346:0.826366:0.547634:0.590624:0.547634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.  lim :@0.293660:0.605421:0.353727:0.605226:0.353727:0.589513:0.293660:0.589708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.323861:0.611807:0.346767:0.611807:0.346767:0.599875:0.323861:0.599875:0.000000:0.000000:0.000000
[ ( )]:@0.354327:0.605440:0.392504:0.605440:0.392504:0.589391:0.354327:0.589391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.359794:0.605226:0.379435:0.605226:0.379435:0.588820:0.359794:0.588820:0.000000:0.000000:0.000000
n:@0.393399:0.599398:0.398628:0.599398:0.398628:0.591070:0.393399:0.591070:0.000000
=:@0.398546:0.606004:0.413880:0.606004:0.413880:0.588349:0.398546:0.588349:0.000000
∙:@0.413788:0.611626:0.419731:0.611626:0.419731:0.585948:0.413788:0.585948:0.000000
x a:@0.419598:0.611807:0.442503:0.611807:0.442503:0.599875:0.419598:0.599875:0.000000:0.000000:0.000000
lim:@0.419598:0.605226:0.444484:0.605226:0.444484:0.589513:0.419598:0.589513:0.000000:0.000000:0.000000
 :@0.445495:0.604911:0.448507:0.604911:0.448507:0.589996:0.445495:0.589996:0.000000
f x:@0.448447:0.605226:0.468126:0.605226:0.468126:0.588820:0.448447:0.588820:0.000000:0.000000:0.000000
( ):@0.454178:0.605440:0.474737:0.605440:0.474737:0.589391:0.454178:0.589391:0.000000:0.000000:0.000000
∙:@0.475964:0.611626:0.481908:0.611626:0.481908:0.585948:0.475964:0.585948:0.000000
n:@0.481774:0.596916:0.490140:0.596916:0.490140:0.583592:0.481774:0.583592:0.000000
.:@0.491009:0.610779:0.495668:0.610779:0.495668:0.587924:0.491009:0.587924:0.000000
Del mismo modo, para el límite de la raíz n-ésima de una función  :@0.293660:0.639931:0.803924:0.639931:0.803924:0.624219:0.293660:0.624219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.804958:0.639931:0.825759:0.639931:0.825759:0.623525:0.804958:0.623525:0.000000:0.000000:0.000000
( )=:@0.810886:0.640514:0.849743:0.640514:0.849743:0.622860:0.810886:0.622860:0.000000:0.000000:0.000000:0.000000
 podemos :@0.849927:0.639931:0.930974:0.639931:0.930974:0.624219:0.849927:0.624219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
concluir::@0.293660:0.656573:0.355630:0.656573:0.355630:0.640861:0.293660:0.640861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.  lim :@0.293660:0.691501:0.353810:0.691306:0.353810:0.675593:0.293660:0.675788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x a:@0.323861:0.697887:0.346767:0.697887:0.346767:0.685955:0.323861:0.685955:0.000000:0.000000:0.000000
n:@0.356354:0.680297:0.360537:0.680297:0.360537:0.673635:0.356354:0.673635:0.000000
√ ( ):@0.354812:0.691520:0.397753:0.691520:0.397753:0.675471:0.354812:0.675471:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.371463:0.691306:0.391143:0.691306:0.391143:0.674899:0.371463:0.674899:0.000000:0.000000:0.000000
=:@0.400188:0.692083:0.415521:0.692083:0.415521:0.674429:0.400188:0.674429:0.000000
x a:@0.441044:0.697887:0.463949:0.697887:0.463949:0.685955:0.441044:0.685955:0.000000:0.000000:0.000000
lim :@0.441044:0.691306:0.470795:0.691306:0.470795:0.675593:0.441044:0.675593:0.000000:0.000000:0.000000:0.000000
f x:@0.471360:0.691306:0.490929:0.691306:0.490929:0.674899:0.471360:0.674899:0.000000:0.000000:0.000000
( ):@0.477042:0.691520:0.497492:0.691520:0.497492:0.675471:0.477042:0.675471:0.000000:0.000000:0.000000
√:@0.415429:0.700837:0.432163:0.700837:0.432163:0.684788:0.415429:0.684788:0.000000
n:@0.418276:0.688069:0.422459:0.688069:0.422459:0.681407:0.418276:0.681407:0.000000
.:@0.497400:0.696859:0.502059:0.696859:0.502059:0.674004:0.497400:0.674004:0.000000
Estas leyes se recuerdan mejor si se aprenden en palabras del lenguaje corriente. Por :@0.293660:0.729586:0.930906:0.729586:0.930906:0.713873:0.293660:0.713873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, la ley 4 se traduce como “el límite de una suma es la suma de los límites”, :@0.293660:0.746227:0.930750:0.746227:0.930750:0.730515:0.293660:0.730515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mientras que la ley 8 se traduce como “el límite de una potencia es la potencia del límite”.:@0.293660:0.762869:0.926384:0.762869:0.926384:0.747157:0.293660:0.747157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.293660:0.797373:0.369443:0.797373:0.369443:0.780704:0.293660:0.780704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinemos lim 3:@0.293660:0.824735:0.447066:0.825280:0.447066:0.809567:0.293660:0.809023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.407104:0.831898:0.412526:0.831898:0.412526:0.819966:0.407104:0.819966:0.000000
5:@0.423276:0.831898:0.429809:0.831898:0.429809:0.820470:0.423276:0.820470:0.000000
x:@0.448060:0.825280:0.455515:0.825280:0.455515:0.808874:0.448060:0.808874:0.000000
2:@0.456556:0.819452:0.461317:0.819452:0.461317:0.811124:0.456556:0.811124:0.000000
x:@0.455545:0.896524:0.460967:0.896524:0.460967:0.884592:0.455545:0.884592:0.000000
5:@0.471717:0.896524:0.478250:0.896524:0.478250:0.885097:0.471717:0.885097:0.000000
lim 3:@0.455545:0.889907:0.495507:0.889907:0.495507:0.874194:0.455545:0.874194:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.496501:0.889907:0.503956:0.889907:0.503956:0.873501:0.496501:0.873501:0.000000
2:@0.504997:0.884079:0.509758:0.884079:0.509758:0.875751:0.504997:0.875751:0.000000
=:@0.511992:0.889952:0.527325:0.889952:0.527325:0.872298:0.511992:0.872298:0.000000
x:@0.543217:0.896524:0.548639:0.896524:0.548639:0.884592:0.543217:0.884592:0.000000
5:@0.559389:0.896524:0.565922:0.896524:0.565922:0.885097:0.559389:0.885097:0.000000
3 lim :@0.528338:0.889907:0.573362:0.889907:0.573362:0.874194:0.528338:0.874194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.574356:0.889907:0.581811:0.889907:0.581811:0.873501:0.574356:0.873501:0.000000
2:@0.582843:0.884079:0.587604:0.884079:0.587604:0.875751:0.582843:0.875751:0.000000
=:@0.589304:0.889584:0.603243:0.889584:0.603243:0.873535:0.589304:0.873535:0.000000
3 lim :@0.604164:0.889370:0.650609:0.889907:0.650609:0.874194:0.604164:0.873657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙:@0.614171:0.896100:0.619371:0.896100:0.619371:0.873631:0.614171:0.873631:0.000000
x:@0.620660:0.896524:0.626082:0.896524:0.626082:0.884592:0.620660:0.884592:0.000000
5:@0.636832:0.896524:0.643364:0.896524:0.643364:0.885097:0.636832:0.885097:0.000000
x:@0.651603:0.889907:0.659057:0.889907:0.659057:0.873501:0.651603:0.873501:0.000000
∙:@0.660890:0.896100:0.666091:0.896100:0.666091:0.873631:0.660890:0.873631:0.000000
2:@0.667379:0.883306:0.672616:0.883306:0.672616:0.874145:0.667379:0.874145:0.000000
= [ ] =:@0.673214:0.889952:0.745024:0.889952:0.745024:0.872298:0.673214:0.872298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 5:@0.689560:0.889370:0.715698:0.889370:0.715698:0.873657:0.689560:0.873657:0.000000:0.000000:0.000000
2:@0.723856:0.883306:0.729093:0.883306:0.729093:0.874145:0.723856:0.874145:0.000000
75:@0.746037:0.889370:0.765033:0.889370:0.765033:0.873657:0.746037:0.873657:0.000000:0.000000
Ley 8:@0.575015:0.855781:0.617173:0.855781:0.617173:0.840068:0.575015:0.840068:0.000000:0.000000:0.000000:0.000000:0.000000
Ley 1:@0.504515:0.932431:0.546673:0.932431:0.546673:0.916718:0.504515:0.916718:0.000000:0.000000:0.000000:0.000000:0.000000
Ley 3:@0.647889:0.932431:0.690047:0.932431:0.690047:0.916718:0.647889:0.916718:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula el siguiente límite: lim  2:@0.302772:0.174007:0.539755:0.174166:0.539755:0.158453:0.302772:0.158294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.494333:0.180779:0.499754:0.180779:0.499754:0.168848:0.494333:0.168848:0.000000
4:@0.510504:0.180779:0.517037:0.180779:0.517037:0.169352:0.510504:0.169352:0.000000
( + ):@0.525284:0.174380:0.574722:0.174380:0.574722:0.158331:0.525284:0.158331:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.539675:0.173850:0.546452:0.173850:0.546452:0.158936:0.539675:0.158936:0.000000
3 .:@0.560247:0.174166:0.579111:0.174016:0.579111:0.158303:0.560247:0.158453:0.000000:0.000000:0.000000
Las leyes de los límites :@0.078581:0.280313:0.229602:0.280313:0.229602:0.266029:0.078581:0.266029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son reglas que permiten :@0.078581:0.295442:0.243056:0.295442:0.243056:0.281157:0.078581:0.281157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular el límite de una :@0.078581:0.310571:0.238096:0.310571:0.238096:0.296286:0.078581:0.296286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función combinada a :@0.078581:0.325700:0.223111:0.325700:0.223111:0.311415:0.078581:0.311415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partir de los límites de sus :@0.078581:0.340829:0.252732:0.340829:0.252732:0.326544:0.078581:0.326544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partes. Aquí están las más :@0.078581:0.355957:0.251668:0.355957:0.251668:0.341673:0.078581:0.341673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunes::@0.078581:0.371086:0.143307:0.371086:0.143307:0.356802:0.078581:0.356802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.078581:0.396937:0.093190:0.396937:0.093190:0.382653:0.078581:0.382653:0.000000:0.000000:0.000000
Ley de la suma::@0.108702:0.396937:0.213501:0.396937:0.213501:0.381783:0.108702:0.381783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.116038:0.431001:0.137779:0.431001:0.137779:0.419069:0.116038:0.419069:0.000000:0.000000:0.000000
lim :@0.116038:0.424420:0.145987:0.424420:0.145987:0.408707:0.116038:0.408707:0.000000:0.000000:0.000000:0.000000
f x:@0.146981:0.424420:0.166670:0.424420:0.166670:0.408014:0.146981:0.408014:0.000000:0.000000:0.000000
( ):@0.152722:0.424634:0.173280:0.424634:0.173280:0.408585:0.152722:0.408585:0.000000:0.000000:0.000000
+:@0.180151:0.425198:0.195484:0.425198:0.195484:0.407543:0.180151:0.407543:0.000000
g x:@0.195392:0.424300:0.216008:0.424300:0.216008:0.409385:0.195392:0.409385:0.000000:0.000000:0.000000
( ):@0.203742:0.424829:0.221514:0.424829:0.221514:0.408780:0.203742:0.408780:0.000000:0.000000:0.000000
=:@0.101582:0.452188:0.115521:0.452188:0.115521:0.436138:0.101582:0.436138:0.000000
x c:@0.115459:0.458742:0.137200:0.458742:0.137200:0.446811:0.115459:0.446811:0.000000:0.000000:0.000000
lim:@0.115459:0.452200:0.140346:0.452200:0.140346:0.436488:0.115459:0.436488:0.000000:0.000000:0.000000
f x:@0.141355:0.451885:0.157821:0.451885:0.157821:0.436970:0.141355:0.436970:0.000000:0.000000:0.000000
( ):@0.145555:0.452415:0.163327:0.452415:0.163327:0.436365:0.145555:0.436365:0.000000:0.000000:0.000000
+:@0.165678:0.452561:0.181011:0.452561:0.181011:0.434907:0.165678:0.434907:0.000000
x c:@0.180919:0.458742:0.202660:0.458742:0.202660:0.446811:0.180919:0.446811:0.000000:0.000000:0.000000
lim:@0.180919:0.452128:0.205806:0.452128:0.205806:0.436416:0.180919:0.436416:0.000000:0.000000:0.000000
g x:@0.206816:0.451813:0.227432:0.451813:0.227432:0.436899:0.206816:0.436899:0.000000:0.000000:0.000000
( ):@0.215167:0.452343:0.232938:0.452343:0.232938:0.436293:0.215167:0.436293:0.000000:0.000000:0.000000
2. :@0.078581:0.477513:0.093190:0.477513:0.093190:0.463229:0.078581:0.463229:0.000000:0.000000:0.000000
Ley de la resta::@0.108702:0.477513:0.209482:0.477513:0.209482:0.462359:0.108702:0.462359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.114873:0.511578:0.136614:0.511578:0.136614:0.499646:0.114873:0.499646:0.000000:0.000000:0.000000
lim :@0.114873:0.504996:0.144822:0.504996:0.144822:0.489284:0.114873:0.489284:0.000000:0.000000:0.000000:0.000000
f x:@0.145816:0.504996:0.165504:0.504996:0.165504:0.488590:0.145816:0.488590:0.000000:0.000000:0.000000
( ):@0.151556:0.505211:0.172115:0.505211:0.172115:0.489162:0.151556:0.489162:0.000000:0.000000:0.000000
 :@0.178986:0.505192:0.183017:0.505192:0.183017:0.489479:0.178986:0.489479:0.000000
– :@0.182944:0.505774:0.196657:0.505774:0.196657:0.488120:0.182944:0.488120:0.000000:0.000000
g x:@0.196559:0.504877:0.217175:0.504877:0.217175:0.489962:0.196559:0.489962:0.000000:0.000000:0.000000
( ):@0.204909:0.505406:0.222680:0.505406:0.222680:0.489357:0.204909:0.489357:0.000000:0.000000:0.000000
=:@0.100422:0.532764:0.114362:0.532764:0.114362:0.516715:0.100422:0.516715:0.000000
x c:@0.114294:0.539319:0.136035:0.539319:0.136035:0.527387:0.114294:0.527387:0.000000:0.000000:0.000000
lim:@0.114294:0.532777:0.139181:0.532777:0.139181:0.517064:0.114294:0.517064:0.000000:0.000000:0.000000
f x:@0.140190:0.532462:0.156657:0.532462:0.156657:0.517547:0.140190:0.517547:0.000000:0.000000:0.000000
( ):@0.144391:0.532991:0.162162:0.532991:0.162162:0.516942:0.144391:0.516942:0.000000:0.000000:0.000000
  lim:@0.164513:0.532555:0.206972:0.532705:0.206972:0.516992:0.164513:0.516842:0.000000:0.000000:0.000000:0.000000:0.000000
– :@0.168471:0.533138:0.182184:0.533138:0.182184:0.515483:0.168471:0.515483:0.000000:0.000000
x c:@0.182085:0.539319:0.203826:0.539319:0.203826:0.527387:0.182085:0.527387:0.000000:0.000000:0.000000
g x:@0.207981:0.532390:0.228597:0.532390:0.228597:0.517475:0.207981:0.517475:0.000000:0.000000:0.000000
( ):@0.216331:0.532919:0.234103:0.532919:0.234103:0.516870:0.216331:0.516870:0.000000:0.000000:0.000000
3. :@0.078581:0.558090:0.093189:0.558090:0.093189:0.543806:0.078581:0.543806:0.000000:0.000000:0.000000
Ley del producto::@0.108702:0.558090:0.228884:0.558090:0.228884:0.542936:0.108702:0.542936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.115648:0.592154:0.137389:0.592154:0.137389:0.580223:0.115648:0.580223:0.000000:0.000000:0.000000
lim :@0.115648:0.585573:0.145597:0.585573:0.145597:0.569861:0.115648:0.569861:0.000000:0.000000:0.000000:0.000000
f x:@0.146591:0.585573:0.166280:0.585573:0.166280:0.569167:0.146591:0.569167:0.000000:0.000000:0.000000
( ):@0.152333:0.585788:0.172890:0.585788:0.172890:0.569738:0.152333:0.569738:0.000000:0.000000:0.000000
 :@0.179761:0.585769:0.183792:0.585769:0.183792:0.570056:0.179761:0.570056:0.000000
*:@0.183719:0.589555:0.191358:0.589555:0.191358:0.572885:0.183719:0.572885:0.000000
 :@0.191284:0.586351:0.195886:0.586351:0.195886:0.568697:0.191284:0.568697:0.000000
g x:@0.195782:0.585453:0.216398:0.585453:0.216398:0.570539:0.195782:0.570539:0.000000:0.000000:0.000000
( ):@0.204132:0.585983:0.221904:0.585983:0.221904:0.569934:0.204132:0.569934:0.000000:0.000000:0.000000
=:@0.101202:0.613341:0.115142:0.613341:0.115142:0.597292:0.101202:0.597292:0.000000
x c:@0.115069:0.619894:0.136810:0.619894:0.136810:0.607963:0.115069:0.607963:0.000000:0.000000:0.000000
lim:@0.115069:0.613354:0.139956:0.613354:0.139956:0.597641:0.115069:0.597641:0.000000:0.000000:0.000000
f x:@0.140965:0.613039:0.157431:0.613039:0.157431:0.598124:0.140965:0.598124:0.000000:0.000000:0.000000
( ):@0.145165:0.613568:0.162937:0.613568:0.162937:0.597519:0.145165:0.597519:0.000000:0.000000:0.000000
  lim:@0.165288:0.613132:0.206196:0.613282:0.206196:0.597569:0.165288:0.597419:0.000000:0.000000:0.000000:0.000000:0.000000
*:@0.169245:0.616918:0.176885:0.616918:0.176885:0.600248:0.169245:0.600248:0.000000
 :@0.176811:0.613714:0.181413:0.613714:0.181413:0.596060:0.176811:0.596060:0.000000
x c:@0.181309:0.619894:0.203050:0.619894:0.203050:0.607963:0.181309:0.607963:0.000000:0.000000:0.000000
g x:@0.207206:0.612967:0.227822:0.612967:0.227822:0.598052:0.207206:0.598052:0.000000:0.000000:0.000000
( ):@0.215556:0.613496:0.233328:0.613496:0.233328:0.597447:0.215556:0.597447:0.000000:0.000000:0.000000
4. :@0.078581:0.638667:0.093189:0.638667:0.093189:0.624383:0.078581:0.624383:0.000000:0.000000:0.000000
Ley del cociente::@0.108702:0.638667:0.223295:0.638667:0.223295:0.623513:0.108702:0.623513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c g x:@0.094352:0.676250:0.143233:0.675556:0.143233:0.663625:0.094352:0.664318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lim:@0.094352:0.669667:0.119239:0.669667:0.119239:0.653955:0.094352:0.653955:0.000000:0.000000:0.000000
f x:@0.126807:0.661678:0.141586:0.661678:0.141586:0.649746:0.126807:0.649746:0.000000:0.000000:0.000000
( ):@0.130970:0.662102:0.146794:0.662102:0.146794:0.649262:0.130970:0.649262:0.000000:0.000000:0.000000
( ):@0.132617:0.675980:0.148441:0.675980:0.148441:0.663141:0.132617:0.663141:0.000000:0.000000:0.000000
=:@0.150708:0.681650:0.166041:0.681650:0.166041:0.663995:0.150708:0.663995:0.000000
x c:@0.174803:0.672021:0.196543:0.672021:0.196543:0.660090:0.174803:0.660090:0.000000:0.000000:0.000000
lim :@0.174803:0.665440:0.204554:0.665440:0.204554:0.649727:0.174803:0.649727:0.000000:0.000000:0.000000:0.000000
f x:@0.205120:0.665440:0.224686:0.665440:0.224686:0.649034:0.205120:0.649034:0.000000:0.000000:0.000000
( ):@0.210801:0.665654:0.231249:0.665654:0.231249:0.649605:0.210801:0.649605:0.000000:0.000000:0.000000
x c:@0.170367:0.695351:0.192107:0.695351:0.192107:0.683420:0.170367:0.683420:0.000000:0.000000:0.000000
lim :@0.170367:0.688770:0.200315:0.688770:0.200315:0.673058:0.170367:0.673058:0.000000:0.000000:0.000000:0.000000
g x:@0.201309:0.688770:0.225562:0.688770:0.225562:0.672364:0.201309:0.672364:0.000000:0.000000:0.000000
( ):@0.211614:0.688985:0.232173:0.688985:0.232173:0.672935:0.211614:0.672935:0.000000:0.000000:0.000000
, :@0.240011:0.681067:0.247245:0.681067:0.247245:0.665354:0.240011:0.665354:0.000000:0.000000
    si lim:@0.078580:0.719149:0.133772:0.719130:0.133772:0.703418:0.078580:0.703436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.108885:0.725743:0.130626:0.725743:0.130626:0.713811:0.108885:0.713811:0.000000:0.000000:0.000000
g x:@0.134782:0.718815:0.155398:0.718815:0.155398:0.703900:0.134782:0.703900:0.000000:0.000000:0.000000
( ) ≠:@0.143132:0.719345:0.177771:0.719370:0.177771:0.703320:0.143132:0.703295:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.177703:0.719152:0.186686:0.719152:0.186686:0.703439:0.177703:0.703439:0.000000
5. :@0.078581:0.744686:0.093189:0.744686:0.093189:0.730401:0.078581:0.730401:0.000000:0.000000:0.000000
Ley de la constante::@0.108702:0.744686:0.244430:0.744686:0.244430:0.729531:0.108702:0.729531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.135030:0.777142:0.156770:0.777142:0.156770:0.765210:0.135030:0.765210:0.000000:0.000000:0.000000
lim :@0.135030:0.768596:0.164978:0.768596:0.164978:0.752883:0.135030:0.752883:0.000000:0.000000:0.000000:0.000000
k:@0.165981:0.768280:0.172858:0.768280:0.172858:0.753366:0.165981:0.753366:0.000000
= :@0.175909:0.769373:0.195752:0.769373:0.195752:0.751719:0.175909:0.751719:0.000000:0.000000
k:@0.195660:0.768476:0.202538:0.768476:0.202538:0.753561:0.195660:0.753561:0.000000
6. :@0.078581:0.797899:0.093189:0.797899:0.093189:0.783615:0.078581:0.783615:0.000000:0.000000:0.000000
Ley de la potencia::@0.108702:0.797899:0.236657:0.797899:0.236657:0.782745:0.108702:0.782745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.089707:0.831963:0.111448:0.831963:0.111448:0.820031:0.089707:0.820031:0.000000:0.000000:0.000000
lim:@0.089707:0.825383:0.114594:0.825383:0.114594:0.809671:0.089707:0.809671:0.000000:0.000000:0.000000
( ( )):@0.115604:0.825598:0.153875:0.825598:0.153875:0.809548:0.115604:0.809548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.121092:0.825383:0.140772:0.825383:0.140772:0.808977:0.121092:0.808977:0.000000:0.000000:0.000000
n:@0.154796:0.819319:0.160548:0.819319:0.160548:0.810159:0.154796:0.810159:0.000000
=:@0.161121:0.826160:0.176454:0.826160:0.176454:0.808506:0.161121:0.808506:0.000000
x c:@0.176362:0.831963:0.198105:0.831963:0.198105:0.820031:0.176362:0.820031:0.000000:0.000000:0.000000
lim:@0.176362:0.825383:0.201249:0.825383:0.201249:0.809671:0.176362:0.809671:0.000000:0.000000:0.000000
( ( )):@0.202260:0.825598:0.240532:0.825598:0.240532:0.809548:0.202260:0.809548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.207748:0.825383:0.227427:0.825383:0.227427:0.808977:0.207748:0.808977:0.000000:0.000000:0.000000
n:@0.241452:0.819319:0.247204:0.819319:0.247204:0.810159:0.241452:0.810159:0.000000
7. :@0.078581:0.851113:0.093189:0.851113:0.093189:0.836828:0.078581:0.836828:0.000000:0.000000:0.000000
Ley de la raíz::@0.108702:0.851113:0.200161:0.851113:0.200161:0.835958:0.108702:0.835958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.078581:0.884661:0.100322:0.884661:0.100322:0.872729:0.078581:0.872729:0.000000:0.000000:0.000000
x c:@0.126949:0.884661:0.148686:0.884661:0.148686:0.872729:0.126949:0.872729:0.000000:0.000000:0.000000
n:@0.111073:0.867071:0.115257:0.867071:0.115257:0.860409:0.111073:0.860409:0.000000
lim  lim:@0.078581:0.878080:0.151069:0.878080:0.151069:0.862367:0.078581:0.862367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
√:@0.109532:0.878294:0.126266:0.878294:0.126266:0.862245:0.109532:0.862245:0.000000
=:@0.154918:0.881170:0.168857:0.881170:0.168857:0.865121:0.154918:0.865121:0.000000
x c:@0.185849:0.884469:0.207591:0.884469:0.207591:0.872538:0.185849:0.872538:0.000000:0.000000:0.000000
n:@0.169977:0.866879:0.174160:0.866879:0.174160:0.860217:0.169977:0.860217:0.000000
√:@0.168774:0.878104:0.185507:0.878104:0.185507:0.862055:0.168774:0.862055:0.000000
lim :@0.185424:0.877890:0.215372:0.877890:0.215372:0.862177:0.185424:0.862177:0.000000:0.000000:0.000000:0.000000
f x:@0.216375:0.877574:0.232841:0.877574:0.232841:0.862660:0.216375:0.862660:0.000000:0.000000:0.000000
( ):@0.220575:0.878104:0.238346:0.878104:0.238346:0.862055:0.220575:0.862055:0.000000:0.000000:0.000000
Competencia :@0.078581:0.238345:0.177272:0.238345:0.177272:0.222939:0.078581:0.222939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.253474:0.167195:0.253474:0.167195:0.238068:0.078581:0.238068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. 1. Desarrolla las propiedades del límite de una función y calcula el límite de una variedad de ellas.:@0.366630:0.971366:0.918485:0.971366:0.918485:0.959939:0.366630:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.615029:0.180779:0.620451:0.180779:0.620451:0.168848:0.615029:0.168848:0.000000
4:@0.631201:0.180779:0.637734:0.180779:0.637734:0.169352:0.631201:0.169352:0.000000
lim  2:@0.615029:0.175402:0.660237:0.175402:0.660237:0.159690:0.615029:0.159690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( + )= ( )+:@0.645766:0.175617:0.751696:0.175617:0.751696:0.159567:0.645766:0.159567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.660157:0.175087:0.666934:0.175087:0.666934:0.160173:0.660157:0.160173:0.000000
3:@0.680730:0.175402:0.689712:0.175402:0.689712:0.159690:0.680730:0.159690:0.000000
2 4:@0.708976:0.175402:0.732350:0.175402:0.732350:0.159690:0.708976:0.159690:0.000000:0.000000:0.000000
3 8 3 11:@0.751613:0.175402:0.841955:0.175402:0.841955:0.159690:0.751613:0.159690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= + =:@0.760522:0.175985:0.824156:0.175985:0.824156:0.158331:0.760522:0.158331:0.000000:0.000000:0.000000:0.000000:0.000000
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