CUET and UG exam CUET UG 2025 Mock Test Series Mathematics Limit and Continuity Evaluation of Limits
If \( \mathrm{a}=\lim _{\mathrm{x} \rightarrow 0} \frac{\sqrt{1+\sqrt{1+\mathrm{x}^4}}-\sqrt{2}}{\mathrm{x}^4} \) and \( b=\lim _{x \rightarrow 0} \frac{\sin ^2 x}{\sqrt{2}-\sqrt{1+\cos x}}\), then the value of ab3 is:
1
36
2
32
3
25
4
30