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Limits Continuity and Differentiability question

2022 · 25 Jul · Shift 2 · Q27

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 25 Jul · Shift 2 · Q27

Limits Continuity and Differentiability question

2022 · 25 Jul · Shift 2 · Q27

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\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

A
14
B
7
C
14 $\sqrt2$
D
7 $\sqrt2$

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