quasi wrote: > Here's a nice challenge problem which I adapted from a past > competition problem ... > > Problem: > > Find, with proof, the largest real number A such that > > x + y + z >= xyz > > implies > > x^2 + y^2 + z^2 >= Axyz
A = sqrt 3.
> My solution is elementary (avoids Calculus), but if a method > based on Calculus yields an easy resolution, that would be worth > seeing as well. > > quasi >
-- The world will little note, nor long remember what we say here Lincoln at Gettysburg