# Zeroed Nested root

Calculus Level 1

It's obvious that if $$d = 0$$, then $$\sqrt{d+\sqrt{d+\sqrt{d+\sqrt{d+\cdots}}}}$$ is equal to 0.

But what is the value of the limit $\lim_{d\to0^+} \sqrt{d+\sqrt{d+\sqrt{d+\sqrt{d+\cdots}}}}\ ?$

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