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Alternating Series

  1. Feb 1, 2010 #1
    1. The problem statement, all variables and given/known data
    What is [tex]\sum_{n=1}^{\infty} (-1)^n/n[/tex]


    2. Relevant equations



    3. The attempt at a solution
    I know that the alternating series [tex]\sum_{n=1}^{\infty} (-1)^{n-1}/n[/tex] converges to ln(2), but I am not sure how to find this series.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 1, 2010 #2
    (-1)n-1 = (-1)n(-1)-1 = -1*(-1)n
    then you can take the constant -1 outside the sum.
     
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