﻿89:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento espacial, métrico y variacional:@0.541231:0.043660:0.930030:0.043660:0.930030:0.024915:0.541231:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones racionales, :@0.749032:0.205621:0.914774:0.205621:0.914774:0.191337:0.749032:0.191337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que tienen la forma :@0.749032:0.220750:0.881921:0.220750:0.881921:0.206466:0.749032:0.206466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.749032:0.244881:0.764377:0.244881:0.764377:0.230849:0.749032:0.230849:0.000000:0.000000:0.000000
( )  :@0.753232:0.244881:0.786198:0.244881:0.786198:0.230597:0.753232:0.230597:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.768678:0.244377:0.782617:0.244377:0.782617:0.231908:0.768678:0.231908:0.000000
P x:@0.790219:0.233921:0.809396:0.233921:0.809396:0.219889:0.790219:0.219889:0.000000:0.000000:0.000000
( ):@0.798185:0.233921:0.813831:0.233921:0.813831:0.219637:0.798185:0.219637:0.000000:0.000000:0.000000
Q x:@0.789550:0.250676:0.811555:0.250676:0.811555:0.236644:0.789550:0.236644:0.000000:0.000000:0.000000
( ):@0.800343:0.250676:0.815989:0.250676:0.815989:0.236392:0.800343:0.236392:0.000000:0.000000:0.000000
  , son útiles :@0.819239:0.244878:0.891981:0.244878:0.891981:0.230594:0.819239:0.230594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para modelar problemas :@0.749032:0.260007:0.915228:0.260007:0.915228:0.245723:0.749032:0.245723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eléctricos. Según la Ley :@0.749032:0.275136:0.905420:0.275136:0.905420:0.260852:0.749032:0.260852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Ohm, la relación :@0.749032:0.290265:0.880503:0.290265:0.880503:0.275981:0.749032:0.275981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre voltaje ( ), :@0.749032:0.305394:0.858338:0.305394:0.858338:0.291110:0.749032:0.291110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.839177:0.305394:0.847461:0.305394:0.847461:0.291362:0.839177:0.291362:0.000000
corriente ( ) y resistencia :@0.749015:0.320523:0.911372:0.320523:0.911372:0.306239:0.749015:0.306239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.816553:0.320523:0.820034:0.320523:0.820034:0.306491:0.816553:0.306491:0.000000
( ) se expresa como: :@0.749015:0.335652:0.886879:0.335652:0.886879:0.321368:0.749015:0.321368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.753383:0.335652:0.761516:0.335652:0.761516:0.321620:0.753383:0.321620:0.000000
R:@0.749015:0.357929:0.757148:0.357929:0.757148:0.343897:0.749015:0.343897:0.000000
5:@0.757081:0.357425:0.771020:0.357425:0.771020:0.344956:0.757081:0.344956:0.000000
V:@0.775053:0.348824:0.783337:0.348824:0.783337:0.334792:0.775053:0.334792:0.000000
I:@0.776476:0.365579:0.779956:0.365579:0.779956:0.351547:0.776476:0.351547:0.000000
 :@0.786729:0.357931:0.790393:0.357931:0.790393:0.343646:0.786729:0.343646:0.000000
Esto muestra que :@0.749032:0.380207:0.867752:0.380207:0.867752:0.365922:0.749032:0.365922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la resistencia es :@0.749032:0.395336:0.854009:0.395336:0.854009:0.381051:0.749032:0.381051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inversamente :@0.749032:0.410465:0.842556:0.410465:0.842556:0.396180:0.749032:0.396180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcional a la :@0.749032:0.425593:0.863445:0.425593:0.863445:0.411309:0.749032:0.411309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corriente cuando el :@0.749032:0.440722:0.881628:0.440722:0.881628:0.426438:0.749032:0.426438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
voltaje se mantiene :@0.749032:0.455851:0.881666:0.455851:0.881666:0.441567:0.749032:0.441567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante. A medida :@0.749032:0.470980:0.888964:0.470980:0.888964:0.456696:0.749032:0.456696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que la corriente :@0.749032:0.486109:0.856460:0.486109:0.856460:0.471825:0.749032:0.471825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aumenta, la resistencia :@0.749032:0.501238:0.902201:0.501238:0.902201:0.486954:0.749032:0.486954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
disminuye.:@0.749032:0.516367:0.820422:0.516367:0.820422:0.502083:0.749032:0.502083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este modelo es :@0.749032:0.731927:0.853010:0.731927:0.853010:0.717643:0.749032:0.717643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamental :@0.749032:0.747056:0.838073:0.747056:0.838073:0.732771:0.749032:0.732771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para entender el :@0.749032:0.762185:0.861444:0.762185:0.861444:0.747900:0.749032:0.747900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comportamiento de :@0.749032:0.777314:0.887105:0.777314:0.887105:0.763029:0.749032:0.763029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circuitos eléctricos.:@0.749032:0.792443:0.873584:0.792443:0.873584:0.778158:0.749032:0.778158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.740297:0.141154:0.891375:0.141154:0.891375:0.125748:0.740297:0.125748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.740297:0.156283:0.825790:0.156283:0.825790:0.141999:0.740297:0.141999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y electricidad::@0.740297:0.171412:0.831199:0.171412:0.831199:0.157128:0.740297:0.157128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Sean  ,   los polinomios definidos como  ( )   2    1,   ( )      con       . La :@0.073089:0.136836:0.710385:0.136836:0.710385:0.121124:0.073089:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.143941:0.136836:0.170484:0.136836:0.170484:0.121401:0.143941:0.121401:0.000000:0.000000:0.000000
p x:@0.409944:0.136836:0.431628:0.136836:0.431628:0.121401:0.409944:0.121401:0.000000:0.000000:0.000000
5:@0.441328:0.136281:0.456661:0.136281:0.456661:0.122566:0.441328:0.122566:0.000000
x:@0.470485:0.136836:0.477940:0.136836:0.477940:0.121401:0.470485:0.121401:0.000000
2:@0.478024:0.130772:0.483261:0.130772:0.483261:0.121612:0.478024:0.121612:0.000000
1:@0.488039:0.136281:0.503372:0.136281:0.503372:0.122566:0.488039:0.122566:0.000000
q x:@0.529952:0.136836:0.551636:0.136836:0.551636:0.121401:0.529952:0.121401:0.000000:0.000000:0.000000
5:@0.561337:0.136281:0.576670:0.136281:0.576670:0.122566:0.561337:0.122566:0.000000
x:@0.581474:0.136836:0.588929:0.136836:0.588929:0.121401:0.581474:0.121401:0.000000
x:@0.635960:0.136836:0.643415:0.136836:0.643415:0.121401:0.635960:0.121401:0.000000
:@0.648206:0.136698:0.663539:0.136698:0.663539:0.122649:0.648206:0.122649:0.000000
:@0.668340:0.135976:0.681630:0.135976:0.681630:0.123079:0.668340:0.123079:0.000000
función racional   está definida como:@0.103204:0.153478:0.371618:0.153478:0.371618:0.137765:0.103204:0.137765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.223826:0.153478:0.228520:0.153478:0.228520:0.138043:0.223826:0.138043:0.000000
 :@0.073089:0.189897:0.077120:0.189897:0.077120:0.174185:0.073089:0.174185:0.000000
f x:@0.103210:0.189897:0.120089:0.189897:0.120089:0.174462:0.103210:0.174462:0.000000:0.000000:0.000000
( )   :@0.107830:0.189897:0.148031:0.189897:0.148031:0.174185:0.107830:0.174185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.128759:0.189342:0.144092:0.189342:0.144092:0.175627:0.128759:0.175627:0.000000
p x:@0.152058:0.181197:0.173650:0.181197:0.173650:0.165761:0.152058:0.165761:0.000000:0.000000:0.000000
( ):@0.161317:0.181197:0.178528:0.181197:0.178528:0.165484:0.161317:0.165484:0.000000:0.000000:0.000000
q x:@0.151395:0.197950:0.172987:0.197950:0.172987:0.182514:0.151395:0.182514:0.000000:0.000000:0.000000
( ):@0.160654:0.197950:0.177865:0.197950:0.177865:0.182237:0.160654:0.182237:0.000000:0.000000:0.000000
 :@0.181070:0.189897:0.185101:0.189897:0.185101:0.174185:0.181070:0.174185:0.000000
5:@0.185027:0.189342:0.200360:0.189342:0.200360:0.175627:0.185027:0.175627:0.000000
2  :@0.202996:0.182500:0.228729:0.182500:0.228729:0.166788:0.202996:0.166788:0.000000:0.000000:0.000000:0.000000
x:@0.211979:0.182500:0.219434:0.182500:0.219434:0.167065:0.211979:0.167065:0.000000
1 :@0.228729:0.181946:0.248664:0.181946:0.248664:0.168230:0.228729:0.168230:0.000000:0.000000
1:@0.248664:0.182500:0.257647:0.182500:0.257647:0.166788:0.248664:0.166788:0.000000
x :@0.227607:0.194385:0.238375:0.194385:0.238375:0.178950:0.227607:0.178950:0.000000:0.000000
    2          0.:@0.260689:0.189897:0.389510:0.189897:0.389510:0.174185:0.260689:0.174185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.268586:0.189342:0.283919:0.189342:0.283919:0.175627:0.268586:0.175627:0.000000
x:@0.296676:0.189897:0.304131:0.189897:0.304131:0.174462:0.296676:0.174462:0.000000
1:@0.308014:0.189342:0.323348:0.189342:0.323348:0.175627:0.308014:0.175627:0.000000
1:@0.330741:0.184685:0.339723:0.184685:0.339723:0.168973:0.330741:0.168973:0.000000
x:@0.331293:0.198026:0.338748:0.198026:0.338748:0.182591:0.331293:0.182591:0.000000
x:@0.346860:0.189897:0.354315:0.189897:0.354315:0.174462:0.346860:0.174462:0.000000
?:@0.358199:0.190438:0.373533:0.190438:0.373533:0.175266:0.358199:0.175266:0.000000
 :@0.073089:0.220833:0.077120:0.220833:0.077120:0.205121:0.073089:0.205121:0.000000
Tracemos la gráfica de esta función.:@0.103203:0.220833:0.360558:0.220833:0.360558:0.205121:0.103203:0.205121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.251771:0.077120:0.251771:0.077120:0.236058:0.073089:0.236058:0.000000
El dominio de   es el conjunto :@0.103203:0.251771:0.326240:0.251771:0.326240:0.236058:0.103203:0.236058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.209564:0.251771:0.214258:0.251771:0.214258:0.236335:0.209564:0.236335:0.000000
Dom f:@0.326818:0.251771:0.371493:0.251771:0.371493:0.236335:0.326818:0.236335:0.000000:0.000000:0.000000:0.000000:0.000000
( )     \ {0}. Además, una asíntota vertical es el :@0.362031:0.251771:0.710522:0.251771:0.710522:0.236058:0.362031:0.236058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.380788:0.251216:0.396122:0.251216:0.396122:0.237500:0.380788:0.237500:0.000000
:@0.400661:0.250911:0.413952:0.250911:0.413952:0.238014:0.400661:0.238014:0.000000
conjunto   = {(0,  ) | y    } o     0, cuya representación gráfica coincide con el eje  .:@0.103204:0.268413:0.700942:0.268413:0.700942:0.252700:0.103204:0.252700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.171679:0.268413:0.180625:0.268413:0.180625:0.252977:0.171679:0.252977:0.000000
y:@0.223256:0.268413:0.230729:0.268413:0.230729:0.252977:0.223256:0.252977:0.000000
:@0.257868:0.268274:0.273201:0.268274:0.273201:0.254225:0.257868:0.254225:0.000000
:@0.276692:0.267553:0.289982:0.267553:0.289982:0.254655:0.276692:0.254655:0.000000
x:@0.311371:0.268413:0.318826:0.268413:0.318826:0.252977:0.311371:0.252977:0.000000
5:@0.322342:0.267858:0.337675:0.267858:0.337675:0.254142:0.322342:0.254142:0.000000
y:@0.690524:0.268413:0.697997:0.268413:0.697997:0.252977:0.690524:0.252977:0.000000
 :@0.073089:0.299350:0.077120:0.299350:0.077120:0.283637:0.073089:0.283637:0.000000
La gráfica de esta función   tiene otra asíntota :@0.103203:0.299350:0.449399:0.299350:0.449399:0.283637:0.103203:0.283637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.299873:0.299350:0.304567:0.299350:0.304567:0.283915:0.299873:0.283915:0.000000
que se obtiene del siguiente modo. Para      , :@0.103210:0.315992:0.449481:0.315992:0.449481:0.300279:0.103210:0.300279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.398573:0.315992:0.406028:0.315992:0.406028:0.300557:0.398573:0.300557:0.000000
:@0.409884:0.315853:0.425217:0.315853:0.425217:0.301805:0.409884:0.301805:0.000000
:@0.429049:0.315132:0.442339:0.315132:0.442339:0.302235:0.429049:0.302235:0.000000
tal que | |   ∞, el término   de la definición de :@0.103204:0.335213:0.449496:0.335212:0.449496:0.319499:0.103204:0.319501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.160156:0.335213:0.167611:0.335213:0.167611:0.319778:0.160156:0.319778:0.000000
→:@0.174863:0.334797:0.193031:0.334797:0.193031:0.317809:0.174863:0.317809:0.000000
1:@0.297378:0.329830:0.306361:0.329830:0.306361:0.314117:0.297378:0.314117:0.000000
x:@0.297931:0.343171:0.305386:0.343171:0.305386:0.327736:0.297931:0.327736:0.000000
f x:@0.103200:0.351854:0.120227:0.351854:0.120227:0.336418:0.103200:0.336418:0.000000:0.000000:0.000000
( ) es suficientemente pequeño. Nos queda el :@0.107894:0.351854:0.449288:0.351854:0.449288:0.336141:0.107894:0.336141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
término 2 . Con este se introduce la función   :@0.103200:0.368496:0.449478:0.368496:0.449478:0.352783:0.103200:0.352783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.176056:0.368496:0.183511:0.368496:0.183511:0.353060:0.176056:0.353060:0.000000
v:@0.437715:0.368496:0.445446:0.368496:0.445446:0.353060:0.437715:0.353060:0.000000
definida como  ( )   2 ,      . Nota que::@0.103200:0.385137:0.405580:0.385137:0.405580:0.369425:0.103200:0.369425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v x:@0.212705:0.385137:0.232622:0.385137:0.232622:0.369702:0.212705:0.369702:0.000000:0.000000:0.000000
5:@0.241291:0.384583:0.256625:0.384583:0.256625:0.370867:0.241291:0.370867:0.000000
x x:@0.269381:0.385137:0.291286:0.385137:0.291286:0.369702:0.269381:0.369702:0.000000:0.000000:0.000000
:@0.295200:0.384999:0.310533:0.384999:0.310533:0.370950:0.295200:0.370950:0.000000
:@0.314392:0.384278:0.327682:0.384278:0.327682:0.371380:0.314392:0.371380:0.000000
 :@0.073089:0.417941:0.077120:0.417941:0.077120:0.402228:0.073089:0.402228:0.000000
f x:@0.103210:0.417941:0.120568:0.417941:0.120568:0.402505:0.103210:0.402505:0.000000:0.000000:0.000000
( )   2     1      ( )    ,         \ {0}, de :@0.108051:0.417941:0.449453:0.417941:0.449453:0.402228:0.108051:0.402228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.131354:0.417386:0.146688:0.417386:0.146688:0.403670:0.131354:0.403670:0.000000
x:@0.161653:0.417941:0.169108:0.417941:0.169108:0.402505:0.161653:0.402505:0.000000
1:@0.174814:0.417386:0.190147:0.417386:0.190147:0.403670:0.174814:0.403670:0.000000
x:@0.200031:0.429332:0.207486:0.429332:0.207486:0.413896:0.200031:0.413896:0.000000
5:@0.223047:0.417386:0.238380:0.417386:0.238380:0.403670:0.223047:0.403670:0.000000
v x:@0.244160:0.417941:0.264555:0.417941:0.264555:0.402505:0.244160:0.402505:0.000000:0.000000:0.000000
1:@0.275342:0.417386:0.290675:0.417386:0.290675:0.403670:0.275342:0.403670:0.000000
1:@0.300001:0.413271:0.308983:0.413271:0.308983:0.397558:0.300001:0.397558:0.000000
x:@0.300553:0.426612:0.308008:0.426612:0.308008:0.411177:0.300553:0.411177:0.000000
x:@0.332531:0.417941:0.339986:0.417941:0.339986:0.402505:0.332531:0.402505:0.000000
:@0.345704:0.417802:0.361037:0.417802:0.361037:0.403754:0.345704:0.403754:0.000000
:@0.366821:0.417081:0.380111:0.417081:0.380111:0.404184:0.366821:0.404184:0.000000
donde::@0.103205:0.434583:0.154654:0.434583:0.154654:0.418870:0.103205:0.418870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.465520:0.077120:0.465520:0.077120:0.449807:0.073089:0.449807:0.000000
La grafica de  = ( )se aproxima a la grafica de :@0.103203:0.465520:0.449569:0.465520:0.449569:0.449807:0.103203:0.449807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y f x:@0.204060:0.465520:0.239936:0.465520:0.239936:0.450085:0.204060:0.450085:0.000000:0.000000:0.000000:0.000000:0.000000
y V x:@0.103225:0.484408:0.142967:0.484408:0.142967:0.468973:0.103225:0.468973:0.000000:0.000000:0.000000:0.000000:0.000000
= ( ) ya que :@0.110662:0.484408:0.205551:0.484408:0.205551:0.468696:0.110662:0.468696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.212963:0.479358:0.221945:0.479358:0.221945:0.463645:0.212963:0.463645:0.000000
| |:@0.208306:0.492144:0.225995:0.492144:0.225995:0.478429:0.208306:0.478429:0.000000:0.000000:0.000000
x:@0.213423:0.492699:0.220878:0.492699:0.220878:0.477264:0.213423:0.477264:0.000000
 :@0.226191:0.484414:0.230222:0.484414:0.230222:0.468701:0.226191:0.468701:0.000000
→ :@0.230590:0.483997:0.253310:0.483997:0.253310:0.467009:0.230590:0.467009:0.000000:0.000000
0 cuando :@0.253728:0.484414:0.326897:0.484414:0.326897:0.468701:0.253728:0.468701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.327228:0.484414:0.337960:0.484414:0.337960:0.468978:0.327228:0.468978:0.000000:0.000000
→ :@0.338254:0.483997:0.360974:0.483997:0.360974:0.467009:0.338254:0.467009:0.000000:0.000000
±∞. En esta :@0.361392:0.484414:0.449508:0.484414:0.449508:0.468701:0.361392:0.468701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso decimos que  =  ( )=2  es una asíntota :@0.103212:0.501055:0.449522:0.501055:0.449522:0.485343:0.103212:0.485343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  V x:@0.244543:0.501055:0.294058:0.501055:0.294058:0.485620:0.244543:0.485620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.319295:0.501055:0.326750:0.501055:0.326750:0.485620:0.319295:0.485620:0.000000
oblícua de la grafica de  . :@0.103230:0.517697:0.286309:0.517697:0.286309:0.501985:0.103230:0.501985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.274455:0.517697:0.279149:0.517697:0.279149:0.502262:0.274455:0.502262:0.000000
 :@0.073089:0.548635:0.077120:0.548635:0.077120:0.532922:0.073089:0.532922:0.000000
El grafo de   es el conjunto definido como  :@0.103203:0.548635:0.449494:0.548635:0.449494:0.532922:0.103203:0.532922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.196008:0.548635:0.203739:0.548635:0.203739:0.533199:0.196008:0.533199:0.000000
G v:@0.103217:0.565276:0.127036:0.565276:0.127036:0.549841:0.103217:0.549841:0.000000:0.000000:0.000000
( ) = {( , 2 ) |      }, representa la :@0.114261:0.565276:0.381067:0.565276:0.381067:0.549564:0.114261:0.549564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.164421:0.565276:0.197481:0.565276:0.197481:0.549841:0.164421:0.549841:0.000000:0.000000:0.000000
x:@0.217692:0.565276:0.225147:0.565276:0.225147:0.549841:0.217692:0.549841:0.000000
:@0.230761:0.565138:0.246094:0.565138:0.246094:0.551089:0.230761:0.551089:0.000000
:@0.251765:0.564417:0.265055:0.564417:0.265055:0.551519:0.251765:0.551519:0.000000
asíntota :@0.382617:0.565276:0.449347:0.565276:0.449347:0.548607:0.382617:0.548607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
oblícua:@0.103214:0.581918:0.159264:0.581918:0.159264:0.565249:0.103214:0.565249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   = 2 .:@0.159153:0.581918:0.208779:0.581918:0.208779:0.566206:0.159153:0.566206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.163111:0.581918:0.170584:0.581918:0.170584:0.566483:0.163111:0.566483:0.000000
x:@0.198195:0.581918:0.205650:0.581918:0.205650:0.566483:0.198195:0.566483:0.000000
 :@0.073089:0.612854:0.077120:0.612854:0.077120:0.597142:0.073089:0.597142:0.000000
La representación de la Figura 2.5. de este conjunto es una recta, con una asíntota :@0.103203:0.612854:0.710635:0.612854:0.710635:0.597142:0.103203:0.597142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominada :@0.103210:0.629496:0.200621:0.629496:0.200621:0.613784:0.103210:0.613784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntota oblicua:@0.200474:0.629496:0.321418:0.629496:0.321418:0.612827:0.200474:0.612827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que se designa con  .:@0.321280:0.629496:0.481092:0.629496:0.481092:0.613784:0.321280:0.613784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.469901:0.629496:0.477963:0.629496:0.477963:0.614061:0.469901:0.614061:0.000000
 :@0.073089:0.653287:0.077120:0.653287:0.077120:0.637574:0.073089:0.637574:0.000000
Calculemos algunos valores de la función  .:@0.103203:0.653287:0.414484:0.653287:0.414484:0.637574:0.103203:0.637574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.406661:0.653287:0.411354:0.653287:0.411354:0.637851:0.406661:0.637851:0.000000
Para    0 :@0.173354:0.677076:0.251298:0.677076:0.251298:0.661363:0.173354:0.661363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.207820:0.677076:0.215275:0.677076:0.215275:0.661640:0.207820:0.661640:0.000000
,:@0.219159:0.676521:0.234493:0.676521:0.234493:0.662805:0.219159:0.662805:0.000000
Para x   0:@0.522842:0.677076:0.597253:0.677076:0.597253:0.661363:0.522842:0.661363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.569071:0.676521:0.584404:0.676521:0.584404:0.662805:0.569071:0.662805:0.000000
 :@0.073089:0.721180:0.077120:0.721180:0.077120:0.705468:0.073089:0.705468:0.000000
f:@0.103210:0.721180:0.107903:0.721180:0.107903:0.705745:0.103210:0.705745:0.000000
( 2) = :@0.107830:0.721180:0.160475:0.721180:0.160475:0.705468:0.107830:0.705468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.112634:0.720625:0.127967:0.720625:0.127967:0.706910:0.112634:0.706910:0.000000
2( 2)  1:@0.162855:0.714552:0.232634:0.714552:0.232634:0.700251:0.162855:0.700251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.175470:0.714048:0.189426:0.714048:0.189426:0.701564:0.175470:0.701564:0.000000
1:@0.210502:0.714048:0.224458:0.714048:0.224458:0.701564:0.210502:0.701564:0.000000
x :@0.194352:0.725370:0.204153:0.725370:0.204153:0.711321:0.194352:0.711321:0.000000:0.000000
       , :@0.230878:0.721180:0.299284:0.721180:0.299284:0.705468:0.230878:0.705468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.234836:0.720625:0.269368:0.720625:0.269368:0.706910:0.234836:0.706910:0.000000:0.000000:0.000000
9:@0.276329:0.714826:0.285312:0.714826:0.285312:0.699113:0.276329:0.699113:0.000000
2:@0.275648:0.727349:0.284631:0.727349:0.284631:0.711636:0.275648:0.711636:0.000000
f:@0.473029:0.721180:0.477723:0.721180:0.477723:0.705745:0.473029:0.705745:0.000000
 ( )   :@0.477649:0.721180:0.529373:0.721180:0.529373:0.705468:0.477649:0.705468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.489522:0.713768:0.498504:0.713768:0.498504:0.698056:0.489522:0.698056:0.000000
4:@0.488841:0.726291:0.497823:0.726291:0.497823:0.710579:0.488841:0.710579:0.000000
5:@0.510101:0.720625:0.525434:0.720625:0.525434:0.706910:0.510101:0.706910:0.000000
1:@0.562684:0.730115:0.571667:0.730115:0.571667:0.714402:0.562684:0.714402:0.000000
4:@0.561994:0.742632:0.570977:0.742632:0.570977:0.726919:0.561994:0.726919:0.000000
1 ²:@0.551646:0.704966:0.576046:0.706846:0.576046:0.691133:0.551646:0.689253:0.000000:0.000000:0.000000
4:@0.550957:0.717482:0.559939:0.717482:0.559939:0.701770:0.550957:0.701770:0.000000
2:@0.534394:0.711591:0.543376:0.711591:0.543376:0.695878:0.534394:0.695878:0.000000
( ):@0.543375:0.713167:0.571372:0.713167:0.571372:0.690312:0.543375:0.690312:0.000000:0.000000:0.000000
    1:@0.550471:0.711036:0.590736:0.711036:0.590736:0.697321:0.550471:0.697321:0.000000:0.000000:0.000000:0.000000:0.000000
  1:@0.571372:0.711591:0.599719:0.711591:0.599719:0.695878:0.571372:0.695878:0.000000:0.000000:0.000000
    ,:@0.599810:0.721180:0.641109:0.721180:0.641109:0.705468:0.599810:0.705468:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.603760:0.720625:0.619094:0.720625:0.619094:0.706910:0.603760:0.706910:0.000000
9:@0.626068:0.713459:0.635051:0.713459:0.635051:0.697747:0.626068:0.697747:0.000000
2:@0.625387:0.725982:0.634370:0.725982:0.634370:0.710270:0.625387:0.710270:0.000000
 :@0.073089:0.777059:0.077120:0.777059:0.077120:0.761346:0.073089:0.761346:0.000000
f:@0.103210:0.777059:0.107903:0.777059:0.107903:0.761624:0.103210:0.761624:0.000000
( 1) = :@0.107830:0.777059:0.160475:0.777059:0.160475:0.761346:0.107830:0.761346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.112634:0.776504:0.127967:0.776504:0.127967:0.762789:0.112634:0.762789:0.000000
2( 1)  1:@0.163101:0.771665:0.239767:0.771665:0.239767:0.755953:0.163101:0.755953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.176961:0.771111:0.192295:0.771111:0.192295:0.757395:0.176961:0.757395:0.000000
1:@0.215451:0.771111:0.230784:0.771111:0.230784:0.757395:0.215451:0.757395:0.000000
2:@0.184508:0.784466:0.199842:0.784466:0.199842:0.770750:0.184508:0.770750:0.000000
1:@0.199842:0.785021:0.208824:0.785021:0.208824:0.769308:0.199842:0.769308:0.000000
 :@0.208824:0.785021:0.212138:0.785021:0.212138:0.769585:0.208824:0.769585:0.000000
    3, :@0.237846:0.777059:0.292298:0.777059:0.292298:0.761346:0.237846:0.761346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.241804:0.776504:0.276336:0.776504:0.276336:0.762789:0.241804:0.762789:0.000000:0.000000:0.000000
f:@0.473029:0.777059:0.477723:0.777059:0.477723:0.761624:0.473029:0.761624:0.000000
 ( )   :@0.477649:0.777059:0.529373:0.777059:0.529373:0.761346:0.477649:0.761346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.489522:0.770614:0.498504:0.770614:0.498504:0.754901:0.489522:0.754901:0.000000
2:@0.488841:0.783137:0.497823:0.783137:0.497823:0.767424:0.488841:0.767424:0.000000
5:@0.510101:0.776504:0.525434:0.776504:0.525434:0.762789:0.510101:0.762789:0.000000
1:@0.562684:0.784941:0.571667:0.784941:0.571667:0.769228:0.562684:0.769228:0.000000
2:@0.561994:0.797458:0.570977:0.797458:0.570977:0.781745:0.561994:0.781745:0.000000
1 ²:@0.551646:0.759792:0.576046:0.761672:0.576046:0.745959:0.551646:0.744079:0.000000:0.000000:0.000000
2:@0.550957:0.772307:0.559939:0.772307:0.559939:0.756595:0.550957:0.756595:0.000000
2:@0.534394:0.766417:0.543376:0.766417:0.543376:0.750704:0.534394:0.750704:0.000000
( ):@0.543376:0.767993:0.571372:0.767993:0.571372:0.745138:0.543376:0.745138:0.000000:0.000000:0.000000
    1:@0.550471:0.765862:0.590736:0.765862:0.590736:0.752147:0.550471:0.752147:0.000000:0.000000:0.000000:0.000000:0.000000
  1:@0.571372:0.766417:0.599719:0.766417:0.599719:0.750704:0.571372:0.750704:0.000000:0.000000:0.000000
   3,:@0.599810:0.777059:0.635078:0.777059:0.635078:0.761346:0.599810:0.761346:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.603767:0.776504:0.619100:0.776504:0.619100:0.762789:0.603767:0.762789:0.000000
 :@0.073089:0.832615:0.077120:0.832615:0.077120:0.816902:0.073089:0.816902:0.000000
f:@0.103210:0.832615:0.107904:0.832615:0.107904:0.817180:0.103210:0.817180:0.000000
(   ) =:@0.107830:0.832615:0.166513:0.832615:0.166513:0.816902:0.107830:0.816902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.112634:0.832060:0.127968:0.832060:0.127968:0.818345:0.112634:0.818345:0.000000
1:@0.134944:0.826892:0.143927:0.826892:0.143927:0.811180:0.134944:0.811180:0.000000
2:@0.134263:0.839415:0.143246:0.839415:0.143246:0.823703:0.134263:0.823703:0.000000
1:@0.209905:0.840820:0.218888:0.840820:0.218888:0.825107:0.209905:0.825107:0.000000
2:@0.209216:0.853337:0.218199:0.853337:0.218199:0.837624:0.209216:0.837624:0.000000
1:@0.203466:0.814383:0.212449:0.814383:0.212449:0.798671:0.203466:0.798671:0.000000
2:@0.202777:0.826900:0.211760:0.826900:0.211760:0.811187:0.202777:0.811187:0.000000
2:@0.169256:0.820862:0.178238:0.820862:0.178238:0.805150:0.169256:0.805150:0.000000
(:@0.178238:0.822438:0.185333:0.822438:0.185333:0.799583:0.178238:0.799583:0.000000
2    1:@0.185333:0.820308:0.240932:0.820308:0.240932:0.806592:0.185333:0.806592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.214472:0.822438:0.221567:0.822438:0.221567:0.799583:0.214472:0.799583:0.000000
  1:@0.221567:0.820862:0.249914:0.820862:0.249914:0.805150:0.221567:0.805150:0.000000:0.000000:0.000000
²:@0.219745:0.817728:0.225009:0.817728:0.225009:0.802015:0.219745:0.802015:0.000000
2:@0.190072:0.846588:0.205406:0.846588:0.205406:0.832872:0.190072:0.832872:0.000000
    3, :@0.251415:0.832615:0.305869:0.832615:0.305869:0.816902:0.251415:0.816902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.255373:0.832060:0.289905:0.832060:0.289905:0.818345:0.255373:0.818345:0.000000:0.000000:0.000000
f:@0.473029:0.832615:0.477723:0.832615:0.477723:0.817180:0.473029:0.817180:0.000000
(1)   :@0.477649:0.832615:0.519360:0.832615:0.519360:0.816902:0.477649:0.816902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.500087:0.832060:0.515421:0.832060:0.515421:0.818345:0.500087:0.818345:0.000000
2 1²  1:@0.522031:0.826055:0.588939:0.826055:0.588939:0.810343:0.522031:0.810343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 1:@0.531012:0.825501:0.579957:0.825501:0.579957:0.811785:0.531012:0.811785:0.000000:0.000000:0.000000
1:@0.550763:0.839410:0.559745:0.839410:0.559745:0.823698:0.550763:0.823698:0.000000
 :@0.559745:0.839410:0.563059:0.839410:0.563059:0.823975:0.559745:0.823975:0.000000
   3,:@0.596774:0.832615:0.632042:0.832615:0.632042:0.816902:0.596774:0.816902:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.600732:0.832060:0.616065:0.832060:0.616065:0.818345:0.600732:0.818345:0.000000
 :@0.073089:0.888201:0.077120:0.888201:0.077120:0.872489:0.073089:0.872489:0.000000
f:@0.103210:0.888201:0.107904:0.888201:0.107904:0.872766:0.103210:0.872766:0.000000
(   ) = :@0.107830:0.888201:0.170470:0.888201:0.170470:0.872489:0.107830:0.872489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.112634:0.887646:0.127968:0.887646:0.127968:0.873931:0.112634:0.873931:0.000000
1:@0.134944:0.882888:0.143927:0.882888:0.143927:0.867176:0.134944:0.867176:0.000000
4:@0.134263:0.895411:0.143246:0.895411:0.143246:0.879699:0.134263:0.879699:0.000000
1:@0.213856:0.896376:0.222839:0.896376:0.222839:0.880663:0.213856:0.880663:0.000000
4:@0.213165:0.908892:0.222148:0.908892:0.222148:0.893179:0.213165:0.893179:0.000000
1:@0.207415:0.869939:0.216398:0.869939:0.216398:0.854227:0.207415:0.854227:0.000000
4:@0.206726:0.882456:0.215709:0.882456:0.215709:0.866743:0.206726:0.866743:0.000000
2:@0.173206:0.876418:0.182189:0.876418:0.182189:0.860706:0.173206:0.860706:0.000000
(:@0.182189:0.877994:0.189284:0.877994:0.189284:0.855139:0.182189:0.855139:0.000000
2    1:@0.189284:0.875864:0.244883:0.875864:0.244883:0.862148:0.189284:0.862148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.218423:0.877994:0.225518:0.877994:0.225518:0.855139:0.218423:0.855139:0.000000
  1:@0.225518:0.876418:0.253865:0.876418:0.253865:0.860706:0.225518:0.860706:0.000000:0.000000:0.000000
²:@0.223696:0.873284:0.228960:0.873284:0.228960:0.857571:0.223696:0.857571:0.000000
2:@0.194023:0.902143:0.209357:0.902143:0.209357:0.888428:0.194023:0.888428:0.000000
      , :@0.255366:0.888201:0.319815:0.888201:0.319815:0.872489:0.255366:0.872489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 2:@0.259324:0.887646:0.293856:0.887646:0.293856:0.873931:0.259324:0.873931:0.000000:0.000000:0.000000
9:@0.300817:0.881368:0.309800:0.881368:0.309800:0.865655:0.300817:0.865655:0.000000
2:@0.300136:0.893891:0.309119:0.893891:0.309119:0.878178:0.300136:0.878178:0.000000
f:@0.473029:0.888201:0.477723:0.888201:0.477723:0.872766:0.473029:0.872766:0.000000
(2)   :@0.477649:0.888201:0.519360:0.888201:0.519360:0.872489:0.477649:0.872489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.500087:0.887646:0.515421:0.887646:0.515421:0.873931:0.500087:0.873931:0.000000
2 2²  1:@0.522031:0.881015:0.588939:0.881015:0.588939:0.865302:0.522031:0.865302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 1:@0.531012:0.880460:0.579957:0.880460:0.579957:0.866745:0.531012:0.866745:0.000000:0.000000:0.000000
2:@0.550763:0.894370:0.559745:0.894370:0.559745:0.878657:0.550763:0.878657:0.000000
 :@0.559745:0.894370:0.563059:0.894370:0.563059:0.878935:0.559745:0.878935:0.000000
    .:@0.596774:0.888201:0.638073:0.888201:0.638073:0.872489:0.596774:0.872489:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.600732:0.887646:0.616065:0.887646:0.616065:0.873931:0.600732:0.873931:0.000000
9:@0.623033:0.881138:0.632016:0.881138:0.632016:0.865426:0.623033:0.865426:0.000000
2:@0.622352:0.893661:0.631335:0.893661:0.631335:0.877949:0.622352:0.877949:0.000000
Para trazar la gráfica de la función  , se toman en consideración las asíntotas horizontal y :@0.073081:0.929861:0.710662:0.929861:0.710662:0.914149:0.073081:0.914149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.318118:0.929861:0.322812:0.929861:0.322812:0.914426:0.318118:0.914426:0.000000
oblicua, y algunos de los valores calculados.:@0.073063:0.946503:0.389192:0.946503:0.389192:0.930790:0.073063:0.930790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 2.5.:@0.471839:0.558975:0.526031:0.558975:0.526031:0.547434:0.471839:0.547434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntota V:@0.503392:0.347291:0.548642:0.347291:0.548642:0.337292:0.503392:0.337292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.564990:0.328780:0.569066:0.328780:0.569066:0.320360:0.564990:0.320360:0.000000
x:@0.692805:0.449799:0.696871:0.449799:0.696871:0.441379:0.692805:0.441379:0.000000
1:@0.566844:0.427541:0.570927:0.427541:0.570927:0.420399:0.566844:0.420399:0.000000
1:@0.592363:0.448274:0.596446:0.448274:0.596446:0.441132:0.592363:0.441132:0.000000
2:@0.548278:0.448022:0.555247:0.448022:0.555247:0.441788:0.548278:0.441788:0.000000
1:@0.555247:0.448274:0.559330:0.448274:0.559330:0.441132:0.555247:0.441132:0.000000
2:@0.528624:0.448022:0.535593:0.448022:0.535593:0.441788:0.528624:0.441788:0.000000
2:@0.535593:0.448274:0.539676:0.448274:0.539676:0.441132:0.535593:0.441132:0.000000
2:@0.508970:0.448022:0.515939:0.448022:0.515939:0.441788:0.508970:0.441788:0.000000
3:@0.515939:0.448274:0.520022:0.448274:0.520022:0.441132:0.515939:0.441132:0.000000
2:@0.488814:0.448022:0.495783:0.448022:0.495783:0.441788:0.488814:0.441788:0.000000
4:@0.495783:0.448274:0.499867:0.448274:0.499867:0.441132:0.495783:0.441132:0.000000
2:@0.612050:0.448274:0.616133:0.448274:0.616133:0.441132:0.612050:0.441132:0.000000
3:@0.631738:0.448274:0.635821:0.448274:0.635821:0.441132:0.631738:0.441132:0.000000
4:@0.651425:0.448274:0.655508:0.448274:0.655508:0.441132:0.651425:0.441132:0.000000
5:@0.671113:0.448274:0.675196:0.448274:0.675196:0.441132:0.671113:0.441132:0.000000
2:@0.559883:0.473369:0.566852:0.473369:0.566852:0.467135:0.559883:0.467135:0.000000
2:@0.566852:0.473622:0.570935:0.473622:0.570935:0.466479:0.566852:0.466479:0.000000
2:@0.559883:0.488202:0.566852:0.488202:0.566852:0.481968:0.559883:0.481968:0.000000
3:@0.566852:0.488454:0.570935:0.488454:0.570935:0.481312:0.566852:0.481312:0.000000
2:@0.559883:0.503035:0.566852:0.503035:0.566852:0.496800:0.559883:0.496800:0.000000
4:@0.566852:0.503287:0.570935:0.503287:0.570935:0.496145:0.566852:0.496145:0.000000
2:@0.559883:0.517867:0.566852:0.517867:0.566852:0.511633:0.559883:0.511633:0.000000
5:@0.566852:0.518120:0.570935:0.518120:0.570935:0.510977:0.566852:0.510977:0.000000
2:@0.559883:0.532700:0.566852:0.532700:0.566852:0.526466:0.559883:0.526466:0.000000
6:@0.566852:0.532952:0.570935:0.532952:0.570935:0.525810:0.566852:0.525810:0.000000
2:@0.566852:0.412715:0.570935:0.412715:0.570935:0.405573:0.566852:0.405573:0.000000
3:@0.566852:0.397882:0.570935:0.397882:0.570935:0.390740:0.566852:0.390740:0.000000
4:@0.566852:0.383050:0.570935:0.383050:0.570935:0.375908:0.566852:0.375908:0.000000
5:@0.566852:0.368217:0.570935:0.368217:0.570935:0.361075:0.566852:0.361075:0.000000
6:@0.566852:0.353384:0.570935:0.353384:0.570935:0.346242:0.566852:0.346242:0.000000
asíntota O:@0.640287:0.363990:0.687845:0.363990:0.687845:0.353991:0.640287:0.353991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.559874:0.458541:0.566844:0.458541:0.566844:0.452306:0.559874:0.452306:0.000000
1:@0.566844:0.458793:0.570927:0.458793:0.570927:0.451651:0.566844:0.451651:0.000000
0:@0.568827:0.446929:0.572910:0.446929:0.572910:0.439787:0.568827:0.439787:0.000000
DBA 5 (Ev. 1) Localiza objetos geométricos en el Plano cartesiano.:@0.082561:0.971366:0.425352:0.971366:0.425352:0.959939:0.082561:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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