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UBA - CienciaS • Ver Tema - Examen - 23/03/2012
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Índice general » Materias » Matemática » Taller de Cálculo Avanzado » Ejercicios de Parciales

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elnieto
 Asunto: Examen - 23/03/2012
NotaPublicado: 24 Mar 2012, 11:16 
Ayudante de Segunda

Registrado: 04 Ago 2011, 13:11
Mensajes: 51
Dejo el exámen que tomaron ayer.

Ejercicio 1.
Sea con . Sea compacto. Supongamos que la serie converge. Probar que la convergencia es uniforme en

Ejercicio 2.
Sea una función. Probar que es continua si y sólo si valen las siguientes afirmaciones:

a) es abierto para todo
b) es abierto para todo

Ejercicio 3.
Sea de variación acotada tal que

a) Probar que
b) Probar que

Ejercicio 4.
Sea una familia de subconjuntos cerrados de tal que para todo existe un intervalo abierto centrado en que interseca sólo a uno de los conjuntos Probar que es un conjunto cerrado.
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Índice general » Materias » Matemática » Taller de Cálculo Avanzado » Ejercicios de Parciales

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