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