# Help me please, A0 fourier series for this Sawtooth wave

I need to know for this wave sub zero, the correct answer is a0=-2V/Pi, but I do not know how to get to that answer. Help me please the imagen its the series.

This is the sawtooth wave http://s9.postimage.org/42uc7x0pp/IMG00030_20121012_1152.jpg

Thanks!

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Destructive edit rolled back. – user53153 Mar 9 '13 at 2:22
@5pm: How did you even come across this thread? – Asaf Karagila Mar 9 '13 at 2:34
@AsafKaragila Bumped to the front page by Community (before I upvoted the answer to keep the bot quiet). – user53153 Mar 9 '13 at 2:40
@5pm: Ah. If only these autobumps were documents... thanks. – Asaf Karagila Mar 9 '13 at 2:41

## 1 Answer

http://en.wikipedia.org/wiki/Sawtooth_wave

Asymptotic error of Fourier series partial sum of sawtooth function

$$\{x\}=\frac{1}{2}-\sum_{n=1}^N\frac{\sin 2\pi nx}{\pi n}+O((1+||x||N)^{-1}) = \frac{1}{2}-\sum_{n=1}^\infty\frac{\sin 2\pi nx}{\pi n}$$

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Thanks but No, the answer for this wave its -2V/pi +(sen wt+1 + sen wt+2...) see? My problem its how to solve A0, A0 its -2V/pi how to? thanks! – Albert Oct 14 '12 at 15:26