MathDB

4

Part of 1992 Dutch Mathematical Olympiad

Problems(1)

weird inequality

Source: Netherlands 1992

6/28/2009
For every positive integer n n, we define n? n? as 1?\equal{}1 and n?\equal{}\frac{n}{(n\minus{}1)?} for n≥2 n \ge 2. Prove that 1992<1992?<431992. \sqrt{1992}<1992?<\frac{4}{3} \sqrt{1992}.
inequalitiesinequalities proposed