Posted by haifeng on 2023-10-11 19:23:42 last update 2023-10-11 19:24:05 | Answers (1) | 收藏
利用极限存在准则证明下列极限.
(1) $\lim\limits_{n\rightarrow\infty}\dfrac{n!}{n^n}=0$.
(2) $\lim\limits_{n\rightarrow\infty}\Bigl(1+\dfrac{1}{2^2}+\dfrac{1}{3^2}+\cdots+\dfrac{1}{n^2}\Bigr)$ 存在.