Determine the convergence of ∑n=1∞(n!)2(2n)!\sum_{n=1}^{\infty} \frac{(n!)^2}{(2n)!}∑n=1∞(2n)!(n!)2.
Converges by the Ratio Test
Diverges by the Ratio Test
Converges by the Root Test
Converges by the Comparison Test