Posted by haifeng on 2017-04-09 08:10:09 last update 2017-04-09 08:10:09 | Answers (1) | 收藏
设 $x_1 > 0$, $x_{n+1}=\ln(x_n+1)$. 求
(1) $\lim\limits_{n\rightarrow\infty}x_n$;
(2) $\lim\limits_{n\rightarrow\infty}\frac{x_n\cdot x_{n+1}}{x_n-x_{n+1}}$.