The value of is equal to

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The value of

\lim_{n\to\infty}\left(\frac{n!}{n^n}\right)^{1/n}

is equal to (1)

\frac{1}{e}

(2)

e

(3)

e^2

(4)

\frac{1}{e^2}