# Math Help - Infinite Series Help

1. Hello All,

I'm trying to figure out if I'm doing this problem correctly.

I've rewritten the top as the cubed root of 1 and am using the root test. Am I on the right track?

Also,

My answer is 1 / (n^2 + 1) and that converges.

2. Originally Posted by maxreality
Hello All,

I'm trying to figure out if I'm doing this problem correctly.

I've rewritten the top as the cubed root of 1 and am using the root test. Am I on the right track?
I would try the limit comparison test with the known divergent series $\sum \frac{1}{n^\frac{2}{3}}$

3. Thank you. I was going about it the more difficult way.