Find the convergence of ∑n=1∞nn3+1\sum_{n=1}^{\infty} \frac{n}{n^3+1}∑n=1∞n3+1n.
Converges by limit comparison with ∑1n2\sum \frac{1}{n^2}∑n21
Diverges by comparison with ∑1n\sum \frac{1}{n}∑n1
Converges by ratio test
Diverges by integral test