Apply the ratio test to ∑n=1∞2nn!\sum_{n=1}^{\infty} \frac{2^n}{n!}∑n=1∞n!2n to determine convergence. What is limn→∞∣an+1an∣\lim_{n \to \infty} \left|\frac{a_{n+1}}{a_n}\right|limn→∞anan+1?
The limit equals 222 and the series diverges.
The limit equals 000 and the series converges.
The limit equals 111 and the ratio test is inconclusive.
The limit equals 1e\frac{1}{e}e1 and the series converges.