6th Canadian Mathematical Olympiad Problems 1974

6th Canadian Mathematical Olympiad Problems 19741.  (1) given x = (1 + 1/n)n, y = (1 + 1/n)n+1, show that xy = yx. (2) Show that 12 - 22 + 32 - 42 + ... + (-1)n+1n2 = (-1)n+1(1 + 2 + ... + n). 2.  Given the

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