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Thread: derechlet theorem special points?

  1. #1
    MHF Contributor
    Nov 2008

    derechlet theorem special points?
    i found the series of the given function
    and i need to find the value of
    <br />
\sum_{n=1}^{\infty}\frac{\sin (n)}{n}<br />
    so i used derechlet
    <br />
f(0)=\frac{h^2}{\pi}(\pi-h)-\sum_{n=1}^{\infty}\frac{h^2}{\pi}\frac{sin(hn)}{n  }<br />

    but on x=0 f(0) could be 0 or h^2 so i don know what to put instead of f(0)

    and i dont how to decide what value to put instead of h
    Last edited by transgalactic; Dec 25th 2009 at 01:36 PM.
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