# Infinite Series Help

#### 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?

Also,

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

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#### skeeter

MHF Helper
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 $$\displaystyle \sum \frac{1}{n^\frac{2}{3}}$$

maxreality

#### maxreality

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