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

Let f(t) be defined on [-π,π] and by

f(t) = {

π^{2}- t^{2}if t ≠ 1/2^{n}, n [itex]\in[/itex] N

t^{2}if t = 1/2^{n}, n [itex]\in[/itex] 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 :)

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

Can you offer guidance or do you also need help?

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