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If \(x = 1 + \frac{x}{1 + \frac{x}{1+ \frac{x}{1 + \cdots}}}\), then what is x?

 Sep 8, 2018
 #1
avatar+5038 
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The answer is x=2

 

Something of an explanation is in section 7.1.2 here

 Sep 8, 2018

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