lim x → (π)/4 (8 √(2)-(cos x+ sin x)⁷)/(√(2)-√(2) sin 2 x) is equal to

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jul, Evening shift · Q4294

JEE Main 202225 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

\lim\limits_{x \rightarrow \frac{\pi}{4}} \frac{8 \sqrt{2}-(\cos x+\sin x)^{7}}{\sqrt{2}-\sqrt{2} \sin 2 x}

is equal to

JEE Main 2022 · 25 Jul, Evening shift · Q4294

JEE Main 202225 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

\lim\limits_{x \rightarrow \frac{\pi}{4}} \frac{8 \sqrt{2}-(\cos x+\sin x)^{7}}{\sqrt{2}-\sqrt{2} \sin 2 x}

is equal to