# Fourier integral representations

Please show each step of your solution. When you use theorems, definitions, etc., please include in your answer.

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

Please see the attached.

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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.

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