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Analysis Converging or diverging

  1. Feb 1, 2009 #1
    1. The problem statement, all variables and given/known data

    Discuss the (absolute) convergence or divergence of hthe series whose nth term is:


    2. Relevant equations

    3. The attempt at a solution

    I want to use the integral rule. First i show that it is decreasing by differentiating the function (and realising it will be negative for all x) then i integrate (ln(x))^(-ln(x)) and show that the integral is finite non zero.
    But how do i integrate (ln(x))^(-ln(x)) ??
    Thank you
  2. jcsd
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