1 . 证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8be59374d29c02ac165a20f4bf9697.png)
您最近一年使用:0次
2 . 设函数
.
⑴求
在区间
(n为正整数)上的最大值
;
⑵令
,
(n、k为正整数).求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e09b1dc110238e680d58e4ee7bac03.png)
⑴求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291ec9bab84c0fe9f327fee24764d6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
⑵令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e054dbed860b2c7280a4ca23c95b9b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b160b509d80068ed83fe7cd0b9269806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3018137b8783dd0f21a5c7b989e9652.png)
您最近一年使用:0次
3 . 已知
(
为自然对数的底数).证明:
(1)
恒成立;
(2)
对一切正整数
均成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd5a5dae0430248ab1f5b2ec3418977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91979f56279f46f2d0c910f3dd7b35a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次