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An inequality for all positive integers n

Source: Balkan MO 1992, Problem 2

April 25, 2006
inequalitiesinequalities proposed

Problem Statement

Prove that for all positive integers nn the following inequality takes place (2n2+3n+1)n≥6n(n!)2. (2n^2+3n+1)^n \geq 6^n (n!)^2 . Cyprus
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