Infinite Series Help

Mar 2010
15
0
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
Jun 2008
16,216
6,764
North Texas
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 \(\displaystyle \sum \frac{1}{n^\frac{2}{3}}\)
 
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Mar 2010
15
0
Thank you. I was going about it the more difficult way.