Determine the convergence of ∑n=1∞1n2+n\sum_{n=1}^{\infty} \frac{1}{\sqrt{n^2+n}}∑n=1∞n2+n1.
Converges by comparison with 1/n1/n1/n
Diverges by comparison with 1/n1/n1/n
Converges by Ratio Test
Diverges by Root Test