JEE Main 202427 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002If a=limx→01+1+x4−2x4\mathrm{a}=\lim\limits_{x \rightarrow 0} \frac{\sqrt{1+\sqrt{1+x^4}}-\sqrt{2}}{x^4}a=x→0limx41+1+x4−2 and b=limx→0sin2x2−1+cosx\mathrm{b}=\lim\limits _{x \rightarrow 0} \frac{\sin ^2 x}{\sqrt{2}-\sqrt{1+\cos x}}b=x→0lim2−1+cosxsin2x, then the value of ab3a b^3ab3 is :AOption A. 36BOption B. 25COption C. 32DOption D. 30CheckSkip · show solution
