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Find the Fourier series and comment the result

  1. Nov 18, 2012 #1
    1. The problem statement, all variables and given/known data

    Let f(t) be defined on [-π,π] and by

    f(t) = {
    π2 - t2 if t ≠ 1/2n, n [itex]\in[/itex] N
    t2 if t = 1/2n, n [itex]\in[/itex] N

    Find its Fourier series F(t) and comment the result (type of series, type of convergence, F(t) = f(t)?, ...).

    2. Relevant equations

    3. The attempt at a solution

    I don't even know where to start, so any help would be appreciated :)
  2. jcsd
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