A) \[1-\sqrt{2}\]
B) \[1+\sqrt{2}\]
C) \[1\pm \sqrt{2}\]
D) None of these
Correct Answer: B
Solution :
Let \[x=2+\frac{1}{2+\frac{1}{2+.....\infty }}\] Þ \[x=2+\frac{1}{x}\] (on simplification) Þ \[x=1\pm \sqrt{2}\] But the value of the given expression cannot be negative or less than 2, therefore \[1+\sqrt{2}\] is required answer.
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