$\lim _{n}$ ${\rightarrow \infty} \sqrt{2} \left[ \frac{(2+\sqrt{2})^n + (2-\sqrt{2})^n}{(2+\sqrt{2})^n - (2-\sqrt{2})^n} \right] =$
- A$2-\sqrt{2}$
- B$2+\sqrt{2}$
- C$1$
- D$\sqrt{2}$
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