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) $\sum\limits_{n=1}^{\infty}\dfrac{(-1)^n}{\sqrt{n+1}+(-1)^n}$
(2) $\sum\limits_{k=2}^{\infty}\biggl(\dfrac{1}{\sqrt{2k}-1}-\dfrac{1}{\sqrt{2k-1}}\biggr)$