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UBA - CienciaS :: Ver Tema - Practica 2 ejercicio 13 d)y l)
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Practica 2 ejercicio 13 d)y l)
http://ubacs.com.ar/ubacs/viewtopic.php?f=12&t=578
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Autor:  nico2 [ 24 Sep 2008, 14:07 ]
Asunto:  Practica 2 ejercicio 13 d)y l)

Alguien me podria ayudar con este ejercicio?Gracias:
Analizar la existencia de los limites restringido a los ejes coordenados y del limite doble de las siguientes funciones en el origen:

d)

l)

Autor:  Mathyas [ 24 Sep 2008, 15:58 ]
Asunto:  Re: Practica 2 ejercicio 13 d)y l)

13.d ----No tiene límite-----> acercate con la recta y=x y el límite tiende a 1, si te acercás con la recta x=0 obtenés 0

13.l ----Tiene limite-----> sale usando coordenadas porlares

Esa fue mi experiencia con ambos ejercicios.

Autor:  Yossarian [ 24 Sep 2008, 20:48 ]
Asunto:  Re: Practica 2 ejercicio 13 d)y l)

El segundo sale fácil si multiplicas y dividís por .

Autor:  hookdump [ 10 Oct 2008, 10:33 ]
Asunto:  Re: Practica 2 ejercicio 13 d)y l)


Autor:  Quimey [ 10 Oct 2008, 11:18 ]
Asunto:  Re: Practica 2 ejercicio 13 d)y l)

Coordenadas Polares:
A todo punto de no nulo se lo puede escribir como
con y
Es lo que viste en algebra sobre los complejos la forma exponencial o trigonometrica, te quedas con el modulo y el argumento
Coordenadas cilindricas:
Es lo mismo que polares pero en haces polares con x e y pero a z lo dejas igual.

Autor:  inesi [ 25 Abr 2009, 23:09 ]
Asunto:  Re: Practica 2 ejercicio 13 d)y l)

sobre el ejercicio d) no me queda claro eso de acercarse por x=0...

Autor:  Quimey [ 25 Abr 2009, 23:38 ]
Asunto:  Re: Practica 2 ejercicio 13 d)y l)

Acercarse por x=0 significa que tomo un valor de y chiquitito (pero no nulo) y evaluo la funcion en ese punto (x=0,y), como el valor me da 0 independientemente del valor de y, el limite acercandote por x=0 te da 0. si te acercas por x=y esto quiere decir que elegis valores iguales para x e y. Haciendo la cuenta te queda algo que no tiende a 0. Es por esto que el limite no existe.

Autor:  Frangipani [ 02 May 2009, 00:38 ]
Asunto:  Re: Practica 2 ejercicio 13 d)y l)

l)

Si yo multiplico y divido por

me queda


y esto tiende a 2 y de ahi ya no se cómo seguirlo acotando

Autor:  Frangipani [ 02 May 2009, 01:17 ]
Asunto:  Re: Practica 2 ejercicio 13 d)y l)

que mongui, el lim es 2, ya está

Autor:  Mr. Satán [ 02 May 2009, 01:22 ]
Asunto:  Re: Practica 2 ejercicio 13 d)y l)

ja ja eso me quedé pensando: si le dió 2 ya está!

Pero después dije: ¿no estará dando 2 por cualquier curva?

recién me puse a chequearlo a ver si había echo algo mal....pero no es claro por propiedades!

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