Use the Ratio Test on ∑n=1∞n!⋅2nnn\sum_{n=1}^{\infty} \frac{n! \cdot 2^n}{n^n}∑n=1∞nnn!⋅2n What is limn→∞an+1an\lim_{n \to \infty} \frac{a_{n+1}}{a_n}limn→∞anan+1?
000 (converges)
2e\frac{2}{e}e2 (converges)
111 (inconclusive)
222 (diverges)