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Test for convergence of a series

  1. Feb 5, 2012 #1
    1. The problem statement, all variables and given/known data

    Mathematics 11.png

    2. Relevant equations

    3. The attempt at a solution

    I have no ideas how to continue. I also tried the comparison test but I don't know where to start. Please guide me...
  2. jcsd
  3. Feb 5, 2012 #2


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    Science Advisor
    Homework Helper

    You want the limit of the ratio as n->infinity. Look at just the [itex]\frac{(n+1)^k}{n^k}[/itex] part. That's the same as [itex](\frac{n+1}{n})^k=(1+\frac{1}{n})^k[/itex]. What is that limit?
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