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## Homework Statement

For what values of p and q does [tex]\sum\limits_{n=2}^\infty \frac{1}{n^q\ln(n)^q}[/tex] converge?

## The Attempt at a Solution

I've tried a couple of tests, but given that there are two variables (p and q), I'm not really sure how to proceed. My hunch is that I have to use the integral test, which says that the series will converge if [tex]\int^{\infty}_2 \frac{1}{n^q\ln(n)^q}\,dn[/tex] converges, but this isn't something I can integrate nicely, so I'm not quite sure.

Could someone point me in the right direction?