The value of $\mathop {\lim }\limits_{x \to 0} \,\frac{{1 - \cos \left( {1 - \cos x} \right)}}{{{x^4}}}$ is

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

The value of

\lim\limits_{x \to 0} \,\frac{{1 - \cos \left( {1 - \cos x} \right)}}{{{x^4}}}

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Correct option: D

\frac{1}{8}

Option D (1/8) is correct because after applying trigonometric identities and limit properties, the expression simplifies to 1/8.

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