(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

f (x) = 0 -pi<x<0

x^2 0<x<pi

Find the fourier series and use it to show that

(pi^2)/6=1+1/2^2+1/3^2+...

2. Relevant equations

N/A

3. The attempt at a solution

I was able to find the fourier series and my answer matched with the back of the book. But I don't understand how I am supposed to use it to prove the expansion of pi^2/6 . I tried plugging in (pi^2)/6 for f(x) but that didn't work out.

Thanks!

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Partial sum of Fourier Coefficients

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