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Susanne217
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Homework Statement
I have found the complex Fourier series corresponding to following function [tex]f(x) = x \cdot (\pi -x)[/tex] defined on the interval [tex](0,\pi)[/tex]
where I get that [tex]f(x) = \frac{\pi^2}{12} + \sum(\frac{-cos(n\pi)+1}{2n^2} + \frac{cos(n\cdot \pi)}{n^3\cdot \pi} \cdot i) [/tex]
Then I suppose to use that series to find the sum of series [tex]\sum_{n=1}^{\infty} \frac{sin(2n-1)x}{(2n-1)^3}[/tex] where [tex]x \in [-\pi,\pi][/tex]
Do I show the two series converge to the same point?
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