$\mathop {\lim }\limits_{x \to \pi /4} \frac{{1 - {{\cot }^3}x}}{{2 - \cot x - {{\cot }^3}x}}$, is

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

\lim\limits_{x \to \pi /4} \frac{{1 - {{\cot }^3}x}}{{2 - \cot x - {{\cot }^3}x}}

, is

View answer and explanation

Correct option: B

\frac{3}{4}

Option B (

\frac{3}{4}

) is correct because it is the result of factoring and simplifying the expression after substituting

y = \cot x

and then evaluating the limit.

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