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

证明: $\lim\limits_{x\rightarrow 0}x\ln(\sin x)=0$.

Posted by haifeng on 2021-12-28 21:15:15 last update 2021-12-28 21:51:57 | Answers (2) | 收藏


证明:

\[\lim_{x\rightarrow 0}x\ln(\sin x)=0.\]

\[\lim_{x\rightarrow\frac{\pi}{2}}\ln(\cos x)\cdot\ln(\sin x)=0.\]