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Fourier series

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f(x)= {0 -2<x<0 f(x+4) = f(x)
{1 0<x<2

I have to find the Fourier series of the problem and sketch the graph of the function at 3 periods. I'm not sure if you need my text and what sections were covering or not so I'll just give it. "Elementary differential equations and boundary value problems" by William E. Boyce and Richard C. Diprima. It's mainly stuff we covered in 10.2-10.5. Thanx a lot for your help.

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Solution Summary

This shows how to find Fourier series and sketch a graph.

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Checkout the following site:
http://mathworld.wolfram.com/FourierSeries.html
http://mathworld.wolfram.com/FourierSeriesSquareWave.html
http://mathworld.wolfram.com/GibbsPhenomenon.html

Method 1: Brute Force.

Any periodic function in the interval [-L,L] with a period 2L can be expanded ...

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