Posted by haifeng on 2022-07-01 21:30:54 last update 2022-07-01 21:30:54 | Answers (2) | 收藏
设
\[a_n=\sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{\cdots\sqrt{1+n}}}}},\]
求 $\lim\limits_{n\rightarrow\infty}a_n$.