问题

Questions in category: 级数 (Infinite Series).

判断下列级数的敛散性.

Posted by haifeng on 2024-12-26 10:33:22 last update 2024-12-26 10:34:40 | Answers (1) | 收藏

判断下列级数的敛散性.

(1) $\sum_{n = 1}^{\infty} \frac{(- 1)^{n}}{\sqrt{n + 1} + (- 1)^{n}}$

(2) $\sum_{k = 2}^{\infty} (\frac{1}{\sqrt{2 k} - 1} - \frac{1}{\sqrt{2 k - 1}})$