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## Homework Statement

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+...

## Homework Equations

N/A

## 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!