If a = lim_(x→ 0)[(√(1 + √(1 + x⁴)) - √2)/x⁴] and b = lim_(x→ 0)[… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 27 January, Shift 1Limits

If $a$ = $\lim_{x\to 0}\left[\frac{\sqrt{(1 + \sqrt{(1 + x^4)})} - \sqrt{2}}{x^4}\right]$ and $b$ = $\lim_{x\to 0}\left[\frac{\sin^2(x)}{\sqrt{2} - \sqrt{1 + \cos x}}\right]$ , then $ab^3$ is:

A
$36$
B
$32$
C
$25$
D
$30$

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