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Absolute convergence

  1. Aug 5, 2008 #1
    1. The problem statement, all variables and given/known data

    so this one says the sum of the series starting at n = 1 to inf. of ((-1)^n)arctan(n)/(n^2)

    2. Relevant equations

    Either a ratio test or just an abs. conv. test

    3. The attempt at a solution

    not sure how to play this one out, honestly. I see some semblance of hope shimmering there but I am not strong enough to reach for it....... *tear
  2. jcsd
  3. Aug 5, 2008 #2


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    Science Advisor
    Homework Helper

    Go for absolute convergence. |arctan(n)| is bounded, right? Compare it with a p-series.
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