$\mathop {\lim }\limits_{x \to 0} \frac{d}{{dx}}\smallint \frac{{1 - \cos x}}{{{x^2}}}dx$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

\lim\limits_{x \to 0} \frac{d}{{dx}}\int \frac{{1 - \cos x}}{{{x^2}}}dx

is equal to

View answer and explanation

Correct option: C

\frac{1}{2}

Option C (

\frac{1}{2}

) is correct because the derivative and integral cancel out, leaving the limit of the original function, which evaluates to 1/2.

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