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Limits Continuity and Differentiability question

2021 · 17 Mar · Shift 1 · Q42

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 17 Mar · Shift 1 · Q42

Limits Continuity and Differentiability question

2021 · 17 Mar · Shift 1 · Q42

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

If the function

f(x) = {{\cos (\sin x) - \cos x} \over {{x^4}}}

is continuous at each point in its domain and

f(0) = {1 \over k}

, then k is

\underline{\hspace{2cm}}

.

Numerical answer

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