JEE Main Mock Test 4

Q 1 / 25
1:00:00
Section A - MCQHardJEE Main 2023
Question 1+4 marks
If a=lim⁡x→01+1+x4−2x4\mathrm{a}=\lim\limits_{x \rightarrow 0} \frac{\sqrt{1+\sqrt{1+x^4}}-\sqrt{2}}{x^4} and b=lim⁡x→0sin⁡2x2−1+cos⁡x\mathrm{b}=\lim\limits _{x \rightarrow 0} \frac{\sin ^2 x}{\sqrt{2}-\sqrt{1+\cos x}}, then the value of ab3a b^3 is :