MathDB

3

Part of 2006 Bosnia and Herzegovina Team Selection Test

Problems(1)

Fractional part inequality

Source: Bosnia and Herzegovina TST 2006 day 1 problem 3

7/14/2016
Prove that for every positive integer nn holds inequality {n7}>3714n\{n\sqrt{7}\}>\frac{3\sqrt{7}}{14n}, where {x}\{x\} is fractional part of xx.
fractional partInequalitynumber theorypositive integerinequalities