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Series Comparison Problem

  1. Mar 8, 2013 #1
    1. The problem statement, all variables and given/known data

    Find all positive values of b for which the series Ʃ bln(n) converges. Bounds are from n=1 to infinity.

    2. Relevant equations

    The assignment is for Direct Comparison Test and Limit Comparison Test.

    3. The attempt at a solution

    I don't know where to begin. Using a comparison test would only indicate convergence or divergence. It seems like it might be a geometric series, but I'm not sure.
  2. jcsd
  3. Mar 8, 2013 #2


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    Try and turn it into a series that looks more familiar. Write b=e^ln(b).
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