Determine the convergence of the series ∑n=1∞(n2+n−n)\sum_{n=1}^{\infty} (\sqrt{n^2 + n} - n)∑n=1∞(n2+n−n).
Converges by Limit Comparison Test with 1n\frac{1}{n}n1
Diverges by Limit Comparison Test with 1n\frac{1}{n}n1
Converges by the Root Test
Diverges by the Divergence Test