2013 IMO Problems/Problem 5
Problem
Let be the set of all positive rational numbers. Let be a function satisfying the following three conditions:
(i) for all , we have ; (ii) for all , we have ; (iii) there exists a rational number such that .
Prove that for all .
Solution
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See Also
2013 IMO (Problems) • Resources | ||
Preceded by Problem 4 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 6 |
All IMO Problems and Solutions |