Determine the convergence of ∑n=1∞n2n3+n\sum_{n=1}^{\infty} \frac{n^2}{n^3+n}∑n=1∞n3+nn2.
Converges by p-series
Diverges by comparison with ∑1n\sum \frac{1}{n}∑n1
Converges by ratio test
Diverges by ratio test