# Determine the complex Fourier series coefficients

Determine the complex Fourier series coefficients for the following function

Please see attached.

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see attachment.

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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This solution is comprised of a detailed explanation to determine the complex Fourier series coefficients.

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