来源:学生作业帮 编辑:百度作业网作业帮 分类:数学作业 时间:2024/07/30 23:20:13
这个题怎么解?求极限
![](http://img.wesiedu.com/upload/9/0d/90d4cd06955eb186d6e5801892075c89.jpg)
1^∞型极限,可用重要极限lim(x→0) (1+x)^(1/x)=e
lim(x→5) (16-3x)^[(2x+1)/(5-x)]
=lim(x→5) [1+(15-3x)]^[(2x+1)/(5-x)]
=lim(x→5) [1+(15-3x)]^{[1/(15-3x)]*[(15-3x)(2x+1)/(5-x)]}
=e^lim(x→5) [(15-3x)(2x+1)/(5-x)]
=e^lim(x→5) 3(2x+1)
=e^33