The value of $\mathop {\lim }\limits_{x \to 0} \frac{{\cos \left( {\sin x} \right) - \cos x}}{{{x^4}}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

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The value of

\lim\limits_{x \to 0} \frac{{\cos \left( {\sin x} \right) - \cos x}}{{{x^4}}}

is equal to

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Correct option: B

1/6

Option B (

1/6

) is correct because the limit is evaluated using L'Hopital's rule or series expansion of trigonometric functions.

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