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Math Help - two tests covergence problem

  1. #1
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    two tests covergence problem

    \sum_{K=1}^{INFINITY}(\frac{k^{2}+1}{3k^{2}-2K+11})^{k}
    th a_k doesnt go to zero
    so the series diverges
    but by the n'th root test its coverges

    where is my mistake
    ?
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  2. #2
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    The limit of the general term IS zero...
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  3. #3
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    then power of numerator and denominator ar equat
    equal

    so we get 1/3 in the infinity power=0

    correct
    ?

    thanks
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