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Fourier series

  1. May 11, 2008 #1
    1. The problem statement, all variables and given/known data

    if 0<[tex]\lambda[/tex]<1 and
    f(x) = x for 0<x<[tex]\lambda\pi[/tex] and
    f(x) = ([tex]\lambda[/tex]/(1-[tex]\lambda[/tex]))([tex]\pi[/tex]-x) for [tex]\lambda\pi[/tex]<x<[tex]\pi[/tex]

    show that f(x)= 2/([tex]\pi[/tex](1-[tex]\lambda[/tex]))[tex]\Sigma[/tex](sin( n[tex]\lambda[/tex][tex]\pi[/tex])sin(nx)(/n[tex]^{}2[/tex]

    2. Relevant equations



    3. The attempt at a solution
    am i right in saying that there is only odd so ao = 0 and an = 0

    and bn = 2/[tex]\pi[/tex] ([tex]\int^{\lambda\pi}_{0}[/tex] x + [tex]\int^{\pi}_{\lambda\pi}[/tex] of the second part)sin(nx)
     
  2. jcsd
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