Posted by haifeng on 2023-04-09 22:52:56 last update 2023-04-09 23:18:34 | Answers (1) | 收藏
证明: 当正整数 $n\geqslant 3$ 时, 有
\[n! < (\frac{n}{2})^n+(\frac{n}{2})^n=\frac{n^n}{2^{n-1}}.\]
