Determine the convergence of ∑n=1∞nn2+1\sum_{n=1}^{\infty} \frac{n}{n^2+1}∑n=1∞n2+1n.
Diverges (Limit Comparison with 1/n1/n1/n)
Converges (p-series test)
Converges (geometric series)
Diverges (geometric series)