Fourier Example: Difference between revisions
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== Solution == | == Solution == | ||
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<math>f(x)=\frac{\pi}{2}+2(sin(x)+\frac{sin(3x)}{3}+\frac{sin(5x)}{5}+...)</math> | <math>f(x)=\frac{\pi}{2}+2(sin(x)+\frac{sin(3x)}{3}+\frac{sin(5x)}{5}+...)</math> | ||
==Solution Graph== | |||
[[Image:Fourier.gif]] | [[Image:Fourier.gif]] | ||
==References:== | ==References:== | ||
[[Fourier Series: Basic Results]] | [[Fourier Series: Basic Results]] |
Revision as of 01:43, 19 January 2010
Find the Fourier Series of the function:
Solution
Here we have
and
We obtain = 0 and
Therefore, the Fourier series of f(x) is