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UBA - CienciaS :: Ver Tema - [no resuelto] Prefinal 17-12-09
UBA - CienciaS
http://ubacs.com.ar/ubacs/

[no resuelto] Prefinal 17-12-09
http://ubacs.com.ar/ubacs/viewtopic.php?f=65&t=1758
Página 1 de 1

Autor:  DanielK [ 19 Dic 2009, 18:39 ]
Asunto:  [no resuelto] Prefinal 17-12-09

Problema 1
Sea una sucesión de reales que converge a y una sucesión de reales acotada.
Demostrar que
Problema 2
Sea un subconjunto compacto de tal que no pertenece a . Se define el conjunto

Demostrar que es compacto
Problema 3
Sea un subconjunto de y sea una función uniformemente continua.
a)Probar que si es una sucesión de cauchy, entonces es una sucesión de cauchy.
b) Sea un punto de acumulación de A
Probar que existe
Problema 4
Sea una función creciente continua en
Demostrar que:

Después cuando me devuelvan el parcial posteo alguna solución, saludos.

Autor:  DanielK [ 21 Dic 2009, 18:31 ]
Asunto:  Re: [no resuelto] Prefinal 17-12-09

1-
2-

3-
El 4 se los debo, a ver si alguien se copa a postearlo

Autor:  Diego.- [ 22 Dic 2009, 00:07 ]
Asunto:  Re: [no resuelto] Prefinal 17-12-09

Yo mañana posteo el 4, pero ahora no tengo tiempo

Autor:  Diego.- [ 22 Dic 2009, 21:50 ]
Asunto:  Re: [no resuelto] Prefinal 17-12-09

Bueno, vamos con el 4:



Y voy a poner una solucion mas linda para el 2



Espero que se entienda, cualquier cosa pregunten

Autor:  Erizo [ 25 Dic 2009, 18:49 ]
Asunto:  Re: [no resuelto] Prefinal 17-12-09

Una pregunta. Yo para el 1 hice esto y me dijeron que estaba mal. Alguien se copa y me dice por que?


Autor:  ALE [ 27 Dic 2009, 05:50 ]
Asunto:  Re: [no resuelto] Prefinal 17-12-09

mmm.... no entendí muy bien lo que hicsite pero si dijiste como creo que decís no es correcto por lo siguiente.

primero que limsup (a_n) no es tomar el supremo de los a_n. Segundo que si así fuera vos, creo, cuando decís A+B estarías suponiendo que limsupa_n + limsupb_n = limsup(a_n+b_n) cosa que tampoco es cierto.

entendiste? no te digo más porque no estoy bien seguro de lo que hiciste... suerte!

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