Mathematics · 2025
JEE Main · 24 January 2025, Shift 1 · Q12
lim_x → 0 cosec x(√(2 cos^2 x+3 cos x)-√(cos^2 x+ sin x+4)) is:
$\displaystyle \lim _{x \rightarrow 0} \operatorname{cosec} x\left(\sqrt{2 \cos ^2 x+3 \cos x}-\sqrt{\cos ^2 x+\sin x+4}\right)$ is:
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle -\frac{1}{2 \sqrt{5}}$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.