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Complex Fourier Series

Please see the attached file for the fully formatted problem.

Let Y: R --> R be the periodic function whose restriction to [0,1] is X (0,1/2) - X(1/2,1)

Y is an odd function.

S 1--> 0 Y(x) cos 2pi kx dx = S 1/2-->-1/2 Y(x) cos 2pi kx dx Vk

Conclude the the complex Fourier Series...can be expressed in the form... and compute the bk's.

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Solution Summary

A problem involving complex Fourier series is solved. The solution is detailed and well presented.