Question

Series Help
http://img542.imageshack.us/img542/2673/4f962256d535cf652600001.png

I said it converge, ratio test, root test, 0 but it's telling me I'm wrong. Am I missing something?

Answer 1

It does converge and it's by the Ratio test. Let me check the radius now.

Answer 2

I am assuming that r is the radius of convergence? Or what is it? Anyway, from the Root test, we get:\[\lim_{n \rightarrow \infty} \sqrt[n]{\frac{1}{(\ln{n+1})^{n}}}\]Right? The limit is 0. I am not getting it :-(

Answer 3

Have you tried e?

Answer 4

Ah, this looks like infinity. Try it now mate :-)