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    Fourier Series of Even and Odd Functions

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    Find the Fourier series expansion of the functions:

    f(t) =

    1 if Pi/3<|t|<2Pi/3
    0 everywhere else

    f(t) =

    1 Pi/3 < t < 2Pi/3
    -1 -2Pi/3 < t < Pi/3
    0 everywhere else

    In the interval [-Pi , Pi]

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    A function on the interval can be written as a Fourier's ...

    Solution Summary

    The solution demonstrates how to calculate the coefficients of a fourier series expansion. It is 8 pages long with full derivations and graphs.