Here's another question a student hit me with tonight. (I'm not having a good night!)

The answer, if I am not mistaken is $\displaystyle |x| > 1$.What is the radius of convergence of the sum

$\displaystyle \sum_{n = 0}^{\infty}\frac{(-1)^n}{ln(n)}x^n$

So then the student asks me, what about $\displaystyle x = \pm 1$?

I have no answer to that. Could someone please explain how to find that out? Thanks again!

-Dan