Difference between revisions of "2018 USAMO Problems/Problem 2"
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Revision as of 11:51, 21 April 2018
Problem 2
Find all functions 
such that
![\[f\left(x+\frac{1}{y}\right)+f\left(y+\frac{1}{z}\right) + f\left(z+\frac{1}{x}\right) = 1\]](http://latex.artofproblemsolving.com/8/9/4/8945fb40f421318fdb191894bc65db33f0253cd0.png)
for all 
with 
