Q:

Divergence of series

I wanted to test the convergence of 
$1/n^{ln3}$
as n tends to infinity.  I applied the integral test and found that the integral is (ln n) which certainly  diverges as n tends to infinity.  But the answer given is that this given series is converging. Would anybody help?  Please.  

A:

This is a p-series and $\log(3) > 1$, hence it converges.  You can use the comparison test to show this. 