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To find the sum of a fourier series ?

  1. Apr 20, 2007 #1
    to find the sum of a fourier series....?

    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.
     
  2. jcsd
  3. Apr 20, 2007 #2

    Dick

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    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.
     
  4. Apr 20, 2007 #3

    Dick

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    Try this. Take the series for log(1+x) and think about putting x=i.
     
  5. Apr 20, 2007 #4

    HallsofIvy

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