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    Use Parseval's equality

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    We are using the book Methods of Real Analysis by Richard R. Goldberg

    (See attached file for full problem description)

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    12.5-2
    Show that the Fourier series for is

    a) Use 12.5E to show that Fourier series at t=0 converges to . Deduce that

    12.5E: Theorem. Let ( this means the function f and the function g is Lebesgue Integrable on , we can write , page 318 of the book Methods if real
    analysis by Richard R. Goldberg), and let x be any point in .
    If
    and exist, then the Fourier series for at x will converge to .

    b) Use Parseval's equality to show that

    Parseval's equality:
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    12.5-2
    Proof:
    First, we find the Fourier series of the function ,
    The Fourier series of ...

    Solution Summary

    This solution is comprised of a detailed explanation to use Parseval's equality to solve.

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