olymmath

USAMO 1981 Problem 5

  • Day 2

Show that for any positive real x,[nx]≥∑1n[kx]/k\mathrm{x},[\mathrm{nx}] \geq \sum_{1}{ }^{\mathrm{n}}[\mathrm{kx}] / \mathrm{k}.

Dataset text NuminaMath olympiads. Quoted with source.

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