Question

What comparison test should I use to see if this series converges/diverges?

Answer 1

\[\sum_{1}^{\infty} 1/n^3+4\]

Answer 2

Can you verify that
\[\frac{1}{n^3+4} < \frac{1}{n^3}\]?

Answer 3

Well I know 1/n^3 diverges... So using the comparison test would I say the other also converges?

Answer 4

1/n^3 converges, not diverges.

Answer 5

Sorry thats what I meant. corrected my self at the end.

Answer 6

Yeah. It goes like that. :D

Answer 7

Okay so say it was 1/n^3-4, would i use the same 1/n^3 but the limit comparison test?

Answer 8

Yes.