34th Austrian Mathematical Olympiad 2003
Source: round 1, problem 1
February 13, 2009
functioninequalities unsolvedinequalities
Problem Statement
Find the minimum value of the expression \frac{a\plus{}1}{a(a\plus{}2)}\plus{}\frac{b\plus{}1}{b(b\plus{}2)}\plus{}\frac{c\plus{}1}{c(c\plus{}2)}, where are positive real numbers with a\plus{}b\plus{}c \le 3.