Wednesday, September 15, 2010

27th Canadian Mathematical Olympiad Problems 1995

27th Canadian Mathematical Olympiad Problems 19951.  Find g(1/1996) + g(2/1996) + g(3/1996) + ... + g(1995/1996) where g(x) = 9x/(3 + 9x). 2.  Show that xxyyzz >= (xyz)(x+y+z)/3 for positive reals x, y, z. 3. 
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