Know Your Limits

Calculus Level 4

limn2n22+2++2n1  roots= ?\large \lim _{ n\rightarrow \infty }{ { 2 }^{ n }\underbrace { \sqrt { 2-\sqrt { 2+\sqrt { 2+\dots +\sqrt { 2 } } } } }_{ n-1 ~~ \text{roots}} } = \ ?

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