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Sketching a Fourier Series Watch

1. I am attempting a fourier series question, and unfortunately I'm terrible at this whole subject area, so would really appreciate any help anyone can offer.

The first part of the question is to find the fourier series for (pi^2-x^2)^2 on the interval (-pi,pi), which I have done. Then it's just a substitution for x=0, again done.

The last question is to sketch the series on the interval (0,3pi). This is the bit I don't really get.

I know you aren't meant to re-calculate the whole thing cause it's only worth 2 marks. But I don't really understand. The fourier series is just a different way to represent the function, so surely you can just sketch the function?

xxx
2. The Fourier series is periodic, whereas (pi^2-x^2)^2 is not.

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Updated: December 9, 2010
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