For the series ∑n=1∞2nn⋅n!\sum_{n=1}^{\infty} \frac{2^n}{n \cdot n!}∑n=1∞n⋅n!2n, the Ratio Test gives limn→∞∣an+1an∣=?\lim_{n \to \infty} \left|\frac{a_{n+1}}{a_n}\right| = ?limn→∞anan+1=?
000 (converges)
111 (test inconclusive)
222 (diverges)
eee (diverges)