jee-main 2022 Q69

jee-main · India · session2_25jul_shift2 Chain Rule Limit Evaluation Involving Composition or Substitution
$\lim_{x \rightarrow \frac{\pi}{4}} \frac{8\sqrt{2} - (\cos x + \sin x)^7}{\sqrt{2} - \sqrt{2}\sin 2x}$ is equal to
(1) 14
(2) 7
(3) $14\sqrt{2}$
(4) $7\sqrt{2}$
$\lim_{x \rightarrow \frac{\pi}{4}} \frac{8\sqrt{2} - (\cos x + \sin x)^7}{\sqrt{2} - \sqrt{2}\sin 2x}$ is equal to\\
(1) 14\\
(2) 7\\
(3) $14\sqrt{2}$\\
(4) $7\sqrt{2}$