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Question Number 61625 by Sharath Kumar last updated on 05/Jun/19

$$1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{1+...}}}}}=$$

Answered by MJS last updated on 05/Jun/19

$$x=1+\frac{1}{x}\wedge x>1\Rightarrow x=\frac{1}{2}+\frac{\sqrt{5}}{2}$$

Commented by Kunal12588 last updated on 05/Jun/19

$$\frac{\sqrt{5}+1}{2}=1.61803398.....{isn}^{\prime }titGoldenRatio.$$

Commented by MJS last updated on 06/Jun/19

$$\mathrm{yes}$$

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