Determine the convergence of the series ∑n=1∞(n!)2(2n)!\sum_{n=1}^{\infty} \frac{(n!)^2}{(2n)!}∑n=1∞(2n)!(n!)2.
Converges to 1/3
Converges to 1/2
Converges, but not to 1/3 or 1/2
Diverges