The value of $\mathop {\lim }\limits_{x \to \pi /2} \frac{{\cot x - \cos x}}{{{{\left( {\pi - 2x} \right)}^3}}}$

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

The value of

\lim\limits_{x \to \pi /2} \frac{{\cot x - \cos x}}{{{{\left( {\pi - 2x} \right)}^3}}}

View answer and explanation

Correct option: B

\frac{1}{{16}}

Option B (

\frac{1}{16}

) is correct because by substituting

x = \frac{\pi}{2} + h

and simplifying the trigonometric functions, the limit can be evaluated to

\frac{1}{16}

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