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Integral Test: What should I compare this series with to prove it's convergence?

  1. Mar 17, 2012 #1
    1. The problem statement, all variables and given/known data
    Here is the problem:
    http://dl.dropbox.com/u/64325990/HW%20Pictures/integraltest.PNG [Broken]

    3. The attempt at a solution
    I know it is convergent because it is very similar to 1/n^1.5 which is convergent as well. However what would I compare this with using the Integral Test to prove that it is convergent?
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Mar 17, 2012 #2


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    Compare it with [itex]\frac{\sqrt{2n+2n}}{n^2}[/itex]. Then it's even more similar to 1/n^(1.5).
    Last edited by a moderator: May 5, 2017
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