JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim\limits_{x \to - 1} \frac{{\sqrt \pi - \sqrt {{{\cos }^{ - 1}}x} }}{{\sqrt {x + 1} }}

is given by

View answer and explanation

Correct option: B

\frac{1}{{\sqrt {2\pi } }}

Option B (

\frac{1}{{\sqrt {2\pi } }}

) is correct because by substituting

{\cos ^{ - 1}}x = y

and applying trigonometric identities and limit properties, the expression simplifies to

\frac{1}{{\sqrt {2\pi } }}

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