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Homework Help: Sine fourier series

  1. Feb 21, 2010 #1
    1. The problem statement, all variables and given/known data

    Find a sine Fourier series for the function f(x)=1 define on 0<x<1. use this series to show that [tex]\Sigma\stackrel{(-1)^k}{2k+1}[/tex] =[tex]\stackrel{\pi}{4}[/tex] betwen k=0 and infinity

    2. Relevant equations



    3. The attempt at a solution

    i found the fourier series to be[tex]\Sigma[/tex] ([tex]\stackrel{2-2cos(n)}{n}[/tex])(sin(nx)) between n=1 and infinity but don't know where to go form here.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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