a = lim x→0 {√1+√1+x^4 - √2} / x^4, b = lim x→0 sin^2(x) / {√2 - √1+cosx} Then ab^3 =

Question

\(a = \lim\limits_{x \to 0} \frac{\sqrt {1+\sqrt{1 +x^4}}-\sqrt 2}{x^4}\)

\(b = \lim\limits_{x\to 0} \frac{\sin^2 (x)}{\sqrt 2 - \sqrt {1 + \cos x}}\)

Then ab³ =

(1) 16

(2) 32

(3) 48

(4) 8

Answer 1

Correct option is (B) 32