26th Canadian Mathematical Olympiad Problems 1994

26th Canadian Mathematical Olympiad Problems 19941.  Find -3/1! + 7/2! - 13/3! + 21/4! - 31/5! + ... + (19942 + 1994 + 1)/1994! 2.  Show that every power of (√2 - 1) can be written in the form √(k+1) - √k. 3.