Determine the convergence of ∑n=1∞n!3n⋅n2\sum_{n=1}^{\infty} \frac{n!}{3^n \cdot n^2}∑n=1∞3n⋅n2n!.
Converges by Ratio Test
Diverges by Ratio Test
Converges by Root Test
Diverges by Divergence Test