# Joining the nested radicals 1

Calculus Level 4

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

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

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