The limit of the square root of two times the square root of two times..... – math.stackexchange.com

The limit of the square root of two times the square root of two times..... – math.stackexchange.com

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i'd like to know how to prove that following sequence $$\sqrt{2\sqrt2},\sqrt{2\sqrt{2\sqrt2}},\sqrt{2\sqrt{2\sqrt{2\sqrt2}}},...$$ Is convergent, and that it's limit equals two. In other words, ...

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