JEE Math Practice Question
$\lim \limits_{x \rightarrow 0} \operatorname{cosec} x\left(\sqrt{2 \cos ^2 x+3 \cos x}-\sqrt{\cos ^2 x+\sin x+4}\right)$ is:
- A.$\frac{1}{\sqrt{15}}$
- B.$\frac{1}{2 \sqrt{5}}$
- C.$0$
- D.$-\frac{1}{2 \sqrt{5}}$
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