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

1. Mar 17, 2012

### theBEAST

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. Mar 17, 2012

### Dick

Compare it with $\frac{\sqrt{2n+2n}}{n^2}$. Then it's even more similar to 1/n^(1.5).

Last edited by a moderator: May 5, 2017
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