Zeroed Nested root

Calculus Level 1

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

But what is the value of the limit limd0+d+d+d+d+ ? \lim_{d\to0^+} \sqrt{d+\sqrt{d+\sqrt{d+\sqrt{d+\cdots}}}}\ ?

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