[求助] 证明极限存在，并求出已有1人参与

2楼: Originally posted by hylpy at 2018-03-19 18:07:21
这样写的题谁看得懂啊？是不是这题：\lim_{x\rightarrow \infty }(1+\frac{1}{3^2})(1+\frac{1}{4^2})\cdots \cdots (1+\frac{1}{n^2}).

2楼: Originally posted by hylpy at 2018-03-19 18:07:21
这样写的题谁看得懂啊？是不是这题：\lim_{x\rightarrow \infty }(1+\frac{1}{3^2})(1+\frac{1}{4^2})\cdots \cdots (1+\frac{1}{n^2}).

7楼: Originally posted by hylpy at 2018-03-20 12:30:46
更正一下。

          \prod_{n=3}^{+\infty }p_n\sim \sum_{n=3}^{+\infty }\frac{1}{n^2}       同收敛。...

6楼: Originally posted by Pchief at 2018-03-20 11:50:11
光凭通项趋近于1即可断定无穷乘积收敛？孩纸，要好好想想啊...