- #1

- 8

- 0

## 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!