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    Fourier integral representations

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    Derive the Fourier integral representations of the following. At which points, if any, does the Fourier integral fail to converge to f(x)? To what values does the integral converge at those points?

    (b) f(x) = {x, 0 <= x < L
    0, x < 0, x >= L

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    Solution Summary

    This shows how to derive Fourier integral representations of given functions and determine the points where the integral fails to converge.