Question

If $lim_{x\rightarrow 0} \frac{\sqrt 1 + \sqrt{1+x^4}-\sqrt 2}{x^4}=A$ and $lim_{x \rightarrow 0} \frac{sin^2x}{\sqrt 2 - \sqrt{1+cosx}}=B$, then $AB^3$ = ____.

• A. 8
• B. 32
• C. 6
• D. None of these

Answer 1

Answer: (B)

32

Answer 2

The correct option is (B): $32$