Joining the nested radicals 1

Calculus Level 4

What is the minimum value xx can take in order for f(x)f(x): f(x)=x+x+x+x+x+...f(x)=\sqrt { x+\sqrt { x+\sqrt { x+\sqrt { x+\sqrt { x+\sqrt { ... } } } } } } to have a real number value assuming that it goes on to infinity?

If the minimum value of xx can be expressed as ab-\frac{a}{b}, find a+ba+b..... Try my Other Problems

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