to find the sum of a fourier series....?

[cabellos]

My problem is:

I must find the sum of ((-1)^(n+1))/2n-1 between infinity and n=1.

I have looked in all my available textbooks for a clear example but im still unsure as to how i should approach the problem?

Help with this would be much appreciated.

Thankyou.

[Dick]

Do you really have to sum it, or just show it converges? The former is easy. I'm not sure how to do the latter unless someone can think of a taylor series that resembles your series.

[Dick]

Try this. Take the series for log(1+x) and think about putting x=i.

[HallsofIvy]

But that's not a "Fourier series", that's just a power series.