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$\large 1 + \cfrac1{1 + \cfrac1{1 + \cfrac1x}} = 1 - \cfrac1{1 - \cfrac1{1 -\cfrac1x}}$

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

$1 + \cfrac1{1 + \cfrac1{1 + \ddots} }$

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