30th Canadian Mathematical Olympiad Problems 1998

30th Canadian Mathematical Olympiad Problems 19981.  How many real x satisfy x = [x/2] + [x/3] + [x/5]? 2.  Find all real x equal to √(x - 1/x) + √(1 - 1/x). 3.  Show that if n > 1 is an integer then (1 + 1/3 + 1/5

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