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Examen - 23/03/2012 http://ubacs.com.ar/ubacs/viewtopic.php?f=65&t=2647	Página 1 de 1

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Autor:	elnieto [ 24 Mar 2012, 11:16 ]
Asunto:	Examen - 23/03/2012
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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