Determine the convergence of the series ∑n=1∞(n!)22n2\sum_{n=1}^{\infty} \frac{(n!)^2}{2^{n^2}}∑n=1∞2n2(n!)2.
Converges by the Ratio Test
Diverges by the Ratio Test
Converges by the Root Test
Diverges by the Root Test