IMO Shortlist 1987 problem 1
Dodao/la: arhiva2. travnja 2012.
Let f be a function that satisfies the following conditions:
, for some number
has at least one solution, and among the solutions of this equation, there is one that is not smaller than all the other solutions;
Proposed by Australia.
Izvor: Međunarodna matematička olimpijada, shortlist 1987