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Thread: uniform convergence of a series.

  1. November 30th 2009, 04:04 PM #1
    Anonymous1
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    uniform convergence of a series.

    Prove that the series

    \sum_1^{\infty} \frac{x^n}{n^2}

    converges uniformly on [-1,1].
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  2. November 30th 2009, 05:12 PM #2
    Jose27
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    If x\in [-1,1] then \vert \frac{x^n}{n^2} \vert \leq \frac{1}{n^2} and use Weierstrass M-test
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