问题

Questions in category: 极限 (Limit).

设 $x_{1} = \sqrt{6}$ , $x_{n + 1} = \sqrt{6 + x_{n}}$ , $n = 1, 2, 3, \dots$ . 证明数列 ${x_{n}}$ 收敛, 并求其极限.

Posted by haifeng on 2023-10-20 21:06:44 last update 2023-10-20 21:07:12 | Answers (2) | 收藏

设 $x_{1} = \sqrt{6}$ , $x_{n + 1} = \sqrt{6 + x_{n}}$ , $n = 1, 2, 3, \dots$ . 证明数列 ${x_{n}}$ 收敛, 并求其极限.