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    Determine the complex Fourier series coefficients

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    Determine the complex Fourier series coefficients for the following function

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    Determine the complex Fourier coefficient of

    Solution. We know that the period of is 4. The Fourier series for a function f(t) with period T can be expressed as

    where and .
    Now and . So, , and

    Note that .
    So,

    Since

    Case 1. If , then
    ...

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