nice inequality
Source: Ireland 2001
July 5, 2009
inequalitiesinequalities proposed
Problem Statement
Prove that for all positive integers : \frac{2n}{3n\plus{}1} \le \displaystyle\sum_{k\equal{}n\plus{}1}^{2n}\frac{1}{k} \le \frac{3n\plus{}1}{4(n\plus{}1)}.