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## Main Question or Discussion Point

How can I represent a general "expression" as a Fourier series?

For example, I want to find the Fourier series of sum:

[tex]\frac{1}{1^2}[/tex] + [tex]\frac{1}{3^2}[/tex] + [tex]\frac{1}{5^2}[/tex] ... (infinite).

using the value of the Fourier series at x = 0 (because this will give the value of the infinite sum).

I'm not sure how I can put this into a function, and find the fourier series (for example, what would be the "p" value of the function?)

Thanks

For example, I want to find the Fourier series of sum:

[tex]\frac{1}{1^2}[/tex] + [tex]\frac{1}{3^2}[/tex] + [tex]\frac{1}{5^2}[/tex] ... (infinite).

using the value of the Fourier series at x = 0 (because this will give the value of the infinite sum).

I'm not sure how I can put this into a function, and find the fourier series (for example, what would be the "p" value of the function?)

Thanks