題組內容
(6) Let $\{an\}$ be a real-valued sequence and let $\sigman = (a1 + \cdots + an)/n$.
(b) (10 %) Let $a_n = n^n/n!$. Show that
$$\lim_{n \to \infty} \frac{n}{(n!)^{1/n}} = e.$$
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(6) Let $\{an\}$ be a real-valued sequence and let $\sigman = (a1 + \cdots + an)/n$.
(b) (10 %) Let $a_n = n^n/n!$. Show that
$$\lim_{n \to \infty} \frac{n}{(n!)^{1/n}} = e.$$