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Math Help - Determine whether the series is convergent or divergent

  1. #1
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    Determine whether the series is convergent or divergent



    Please show me the way to solve this problem. I "believe" that differentiating it and/or integrating this problem would be a big mess. So the only thing I could think of is the comparison test. But how do we split this up so that it is comparable?
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  2. #2
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    Are you allowed to use the ratio test? In case you are not familiar with the ratio test, here is a link an article on Wolfram about it: Ratio Test -- from Wolfram MathWorld

    Basically, if a_n is the nth term of the series and \displaystyle \lim_{n \to \infty} \dfrac{a_{n+1}}{a_n} < 1, then the series converges.
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  3. #3
    MHF Contributor matheagle's Avatar
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    just compare it to the geometric with r=.25, since (n-1)/n is less than 1.
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