# Homework Help: Find the Fourier series and comment the result

1. Nov 18, 2012

### Ezequiel

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

Let f(t) be defined on [-π,π] and by

f(t) = {
π2 - t2 if t ≠ 1/2n, n $\in$ N
t2 if t = 1/2n, n $\in$ N
}

Find its Fourier series F(t) and comment the result (type of series, type of convergence, F(t) = f(t)?, ...).

2. Relevant equations

3. The attempt at a solution

I don't even know where to start, so any help would be appreciated :)