A Nested Radical Floor

★ 8/10sequences Estimation Induction inequality

Problem

Let

M = \sqrt{2017\sqrt{2018\sqrt{2019\sqrt{\cdots\sqrt{\left(2017^2 - 1\right)\sqrt{2017^2}}}}}}.

Find the greatest integer not exceeding $M$ .

Answer

Solution

Difficulty	8/10
Topics	sequences, Estimation, Induction, inequality

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