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Limits Continuity and Differentiability question

2020 · 3 Sep · Shift 1 · Q39

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JEE Main
Mathematics
Limits Continuity and Differentiability
2020 · 3 Sep · Shift 1 · Q39

Limits Continuity and Differentiability question

2020 · 3 Sep · Shift 1 · Q39

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

If

\mathop {\lim }\limits_{x \to 0} \left\{ {{1 \over {{x^8}}}\left( {1 - \cos {{{x^2}} \over 2} - \cos {{{x^2}} \over 4} + \cos {{{x^2}} \over 2}\cos {{{x^2}} \over 4}} \right)} \right\}

= 2-k then the value of k is

\underline{\hspace{2cm}}

.

Numerical answer

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