We Need To Go Deeper - 3

Algebra Level 3

1+11+11+1x=111111x \large 1 + \cfrac1{1 + \cfrac1{1 + \cfrac1x}} = 1 - \cfrac1{1 - \cfrac1{1 -\cfrac1x}}

True or false: The positive solution to the equation above is equal to the continued fraction below.

1+11+11+ 1 + \cfrac1{1 + \cfrac1{1 + \ddots} }

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