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Limits Continuity and Differentiability question

2024 · 27 Jan · Shift 1 · Q40

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JEE Main
Mathematics
Limits Continuity and Differentiability
2024 · 27 Jan · Shift 1 · Q40

Limits Continuity and Differentiability question

2024 · 27 Jan · Shift 1 · Q40

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

\mathrm{a}=\lim\limits_{x \rightarrow 0} \frac{\sqrt{1+\sqrt{1+x^4}}-\sqrt{2}}{x^4}

and

\mathrm{b}=\lim\limits _{x \rightarrow 0} \frac{\sin ^2 x}{\sqrt{2}-\sqrt{1+\cos x}}

, then the value of

a b^3

is :

A
36
B
25
C
32
D
30

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