Continued fraction in 8th root------ any simpler approach? – math.stackexchange.com

Continued fraction in 8th root------ any simpler approach? – math.stackexchange.com

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It seems to be a problem from the Putnam Exam. The problem asked to find the exact value of $$x=\sqrt[8]{2207-\cfrac{1}{2207-\cfrac{1}{2207-\cfrac{1}{2207-\cfrac{1}{\ddots}}}}}$$ And express as $\...

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