Evaluate the following limits : \[ \operatorname{Lt}_{x \rightarrow \frac{\pi}{2}} \frac{\sqrt{2...

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Evaluate the following limits :
\[
\operatorname{Lt}_{x \rightarrow \frac{\pi}{2}} \frac{\sqrt{2-\sin x}-1}{\left(\frac{\pi}{2}-x\right)^{2}}
\]
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