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Convergence of series

  1. Oct 20, 2009 #1
    [tex]\Sigma[/tex][tex]^{\infty}_{n=1}[/tex][tex]\left[1/3^{ln\:n}}\right][/tex]

    How do I go about testing the convergence of this series?

    I have no clue which method I should be using, since most tests fails on this one.

    You don't have to show me everything, just a nudge in the right direction should get me going on this question :)
     
  2. jcsd
  3. Oct 20, 2009 #2

    zcd

    User Avatar

    Might help to know that [tex]3^{\ln{n}}=3^{\frac{\log_{3}{n}}{\log_{3}{e}}}=n^\frac{1}{{\log_{3}{e}}}[/tex]
     
  4. Oct 20, 2009 #3
    Ah, here's the critical link. I got it, thanks! :D
     
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