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Irish Mathematical Olympiad 2013 (1)

Source: Paper 1 , Problem 2

September 6, 2014
inequalities proposedinequalities

Problem Statement

Prove that 1−12012(12+13+⋯+12013)≥120132012. 1-\frac{1}{2012}\left(\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{2013}\right)\ge \frac{1}{\sqrt[2012]{2013}}.
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