# Homework Help: Convergence of series

1. Oct 20, 2009

### hobbes33

$$\Sigma$$$$^{\infty}_{n=1}$$$$\left[1/3^{ln\:n}}\right]$$

How do I go about testing the convergence of this series?

I have no clue which method I should be using, since most tests fails on this one.

You don't have to show me everything, just a nudge in the right direction should get me going on this question :)

2. Oct 20, 2009

### zcd

Might help to know that $$3^{\ln{n}}=3^{\frac{\log_{3}{n}}{\log_{3}{e}}}=n^\frac{1}{{\log_{3}{e}}}$$

3. Oct 20, 2009

### hobbes33

Ah, here's the critical link. I got it, thanks! :D