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A good inequality

Source: India RMO 1992 Problem 7

October 15, 2005
inequalitiessearchquadratics

Problem Statement

Prove that 1<11001+11002+11003+⋯+13001<113. 1 < \frac{1}{1001} + \frac{1}{1002} + \frac{1}{1003} + \cdots + \frac{1}{3001} < 1 \frac{1}{3}.
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