$\mathop {\lim }\limits_{x \to 0} \frac{{\tan x - \sin x}}{{{x^3}}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim\limits_{x \to 0} \frac{{\tan x - \sin x}}{{{x^3}}}

is equal to

View answer and explanation

Correct option: A

\frac{1}{2}

Option A (

\frac{1}{2}

) is correct because by applying L'Hopital's rule multiple times, the limit simplifies to

\frac{1}{2}

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