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Series convergence problem

  1. Oct 16, 2013 #1
    1. The problem statement, all variables and given/known data

    So I need to determine if the series [itex]\Sigma[/itex][itex]ln(1+e^{-n})/n[/itex] converges.


    2. Relevant equations



    3. The attempt at a solution

    I know it does, but cannot prove it. Wolfram says that the ratio test indicates that the series converges, but when I try to solve the limit I get that it equals 1(which is not conclusive). here
     
    Last edited by a moderator: Oct 16, 2013
  2. jcsd
  3. Oct 16, 2013 #2

    HallsofIvy

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    Do you mean
    [tex]\sum \frac{ln(1+ e^n}{n}[/tex]
     
  4. Oct 16, 2013 #3

    Dick

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    The series you posted looks like ln(1+e^(-n))/n. The series you tested in Mathematics looks like ln(1+e^(1/n))/n. e^(-n) is pretty different from e^(1/n).
     
  5. Oct 16, 2013 #4
    No it's -n alright, but I've been switching them up along the way. Now I see my problem. Thanks
     
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