1.

If \[x=\sqrt{1+\sqrt{1+\sqrt{1+.......\text{to infinity}}}},\]then x =

A. \[\frac{1+\sqrt{5}}{2}\]
B. \[\frac{1-\sqrt{5}}{2}\]
C. \[\frac{1\pm \sqrt{5}}{2}\]
D. None of these
Answer» B. \[\frac{1-\sqrt{5}}{2}\]


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