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

I'm trying to find the fourier series of x/3.

2. Relevant equations

3. The attempt at a solution

So i believe that it is an odd function so a0, ak = 0. To find bk:

bk = 1/3pi int (x sin kx dx) from -pi to pi. From integration by parts

= 1/3pi ([x sin kx from -pi to pi]+ 1/k int (cos kx dx) from -pi to pi)

= 1/3pi [(pi sin k pi + pi sin -k pi) +1/k^2 (sin k pi - sin -k pi)]

I think that works out to be 0? Is that right?

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# Homework Help: Fourier series of x/3

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