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JEE Math Practice Question

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

  1. A.14
  2. B.7
  3. C.14$$\sqrt2$$
  4. D.7$$\sqrt2$$

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