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Math Help - power series- radius and interval of convergence

  1. #1
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    power series- radius and interval of convergence

    The sum from 2 to infinite of [x^(2n)]/[n*(ln n)^2]
    I tried the ratio test but it got me to some nasty thing i dont know how to solve.
    thanks for any help in advance!
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  2. #2
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    Quote Originally Posted by Jasonium View Post
    The sum from 2 to infinite of [x^(2n)]/[n*(ln n)^2]
    I tried the ratio test but it got me to some nasty thing i dont know how to solve.
    Use the root test. \sqrt[n]{{\left| {a_n } \right|}} = \frac{{x^2 }}<br />
{{\sqrt[n]{{n\left( {\ln (n)} \right)^2 }}}}
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