The value of \( \lim _{x \rightarrow \pi} \frac{\sqrt{2+\cos x}-1}{(\pi-x)^{2}} \) is (a) \( \fr...

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The value of \( \lim _{x \rightarrow \pi} \frac{\sqrt{2+\cos x}-1}{(\pi-x)^{2}} \) is
(a) \( \frac{1}{4} \)
(b) \( \frac{1}{2} \)
(c) 2
(d) Doesn't exist
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