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Ejercicios resueltos de Cálculo - Universidad de Málaga

Ejercicios resueltos de Cálculo - Universidad de Málaga

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Sucesiones y series funcionales 108<br />

Problema 54 Estudiar la convergencia <strong>de</strong> las siguientes sucesiones <strong>de</strong> funciones.<br />

1. fn(x) = 2 n2 − x 2<br />

n 3 + x fn(x) = n 2 (1 − x)x n fn = xe −nx<br />

fn = nxe −nx fn =<br />

<strong>Ejercicios</strong> <strong>resueltos</strong> <strong>de</strong> <strong>Cálculo</strong>. c○Agustín Valver<strong>de</strong><br />

(1 + nx)2<br />

1 + n 2 x 2<br />

fn(x) = 1<br />

<br />

n (1 − x) n2 +1

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