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Thread: Series

  1. November 5th 2008, 02:50 PM #1
    Mathstud28
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    Series

    Sum this series...its fairly fun

    \sum_{n=1}^{\infty}\frac{(-1)^{n+1}n^2}{n^3+1}
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  2. November 7th 2008, 12:23 PM #2
    Mathstud28
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    Hint: The answer is \frac{1}{3}\left(1-\ln(2)+\frac{\pi}{\cosh\left(\frac{\sqrt{3}\pi}{2} \right)}\right). Now prove it.
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« Absolute Converging Summation | another question:) »

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