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Question Number 138735 by SanyamJoshi last updated on 17/Apr/21

Answered by Ajaypareek last updated on 17/Apr/21

$$1$$

Answered by bramlexs22 last updated on 18/Apr/21

$$let{\sin }^{-1}\left(x\right)=t\Rightarrow x=\sin t$$$$\underset{t\to 0}{\lim }\frac{t.\sin \left(\sin t\right)}{\sin {}^{2}t}=$$$$\underset{t\to 0}{\lim }\frac{t}{\sin t}.\underset{t\to 0}{\lim }\frac{\sin \left(\sin t\right)}{\sin t}=1\times 1=1$$

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