Limits Continuity and Differentiability

JEE Main 2022 · 25 Jul, Evening shift · Q4294

MathematicsMedium179×since 2002Q4294

\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

MathematicsMedium179×since 2002Q4294

\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

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