- #1
sristi89
- 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!