Apply the Ratio Test to ∑n=1∞n!⋅4n(2n)!\sum_{n=1}^{\infty} \frac{n! \cdot 4^n}{(2n)!}∑n=1∞(2n)!n!⋅4n. What is limn→∞∣an+1an∣\lim_{n \to \infty} \left|\frac{a_{n+1}}{a_n}\right|limn→∞anan+1?
L=12L = \frac{1}{2}L=21; converges
L=1L = 1L=1; inconclusive
L=2L = 2L=2; diverges
L=0L = 0L=0; converges