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Limits Continuity and Differentiability question

2025 · 24 Jan · Shift 1 · Q26

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 24 Jan · Shift 1 · Q26

Limits Continuity and Differentiability question

2025 · 24 Jan · Shift 1 · Q26

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\lim_{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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