$\lim _\limits{x \rightarrow a} \frac{x \sin a-a \sin x}{x-a}$ is

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

\lim \limits_{{x \rightarrow a}} \frac{x \sin a-a \sin x}{x-a}

View answer and explanation

Correct option: D

\sin a-a \cos a

The correct answer is D (

\sin a - a \cos a

) because applying L'Hôpital's rule to the limit yields the value

\sin a - a \cos a

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