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Divergent Series

  1. Apr 28, 2013 #1
    Hi all, is there any way to find what the largest value of n is such that $$\sum_{k=1}^\infty\frac{1}{k^n}$$ is divergent? I don't need an answer, I need an approach to the problem.
  2. jcsd
  3. Apr 29, 2013 #2


    Staff: Mentor

    Integral test.

    It is well known that if n = 1, the series is the harmonic series, which diverges.
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