1960 IMO Problems/Problem 2
Problem
For what values of the variable does the following inequality hold:
Solution
Set , where
.
After simplifying, we get
So
Which gives and hence
.
But makes the RHS indeterminate.
So, answer: , except
.
See Also
1960 IMO (Problems) • Resources | ||
Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 3 |
All IMO Problems and Solutions |