问题

分析 >> 数学分析 >> 极限
Questions in category: 极限 (Limit).

求下列极限

Posted by haifeng on 2021-03-25 11:06:38 last update 2021-03-25 11:17:42 | Answers (2) | 收藏


(1)

\[
\lim_{x\rightarrow 0}\frac{\sqrt{1+\tan x}-\sqrt{1+\sin x}}{\sin x^3}
\]

 

 

[Ans] $\frac{1}{4}$


(2) 

\[
\lim_{x\rightarrow 0}\biggl(\frac{\sin x}{x}\biggr)^{\frac{1}{1-\cos x}}
\]