Limits and Derivatives JEE Main 2025 Question on Cosec Limit

JEE MAIN 2025

24-01-2025 SHIFT 1

Question

$\mathop {\lim }\limits_{x \to 0} {\mathop{\rm cosec}\nolimits} x\left( {\sqrt {2{{\cos }^2}x + 3\cos x} - \sqrt {{{\cos }^2}x + \sin x + 4} } \right)$ is

Select the correct option:

$\frac{1}{{2\sqrt 5 }}$

$0$

$ - \frac{1}{{2\sqrt 5 }}$

$\frac{1}{{\sqrt {15} }}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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