$\lim_{x \rightarrow \frac{\pi}{4}} \frac{8\sqrt{2} - (\cos x + \sin x)^7}{\sqrt{2} - \sqrt{2}\sin 2x}$ is equal to\\ (1) 14\\ (2) 7\\ (3) $14\sqrt{2}$\\ (4) $7\sqrt{2}$