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1) Use matehmatical induction to prove that 1 1! + 2 2! + + n n! = (n + 1)! 1 whenever n is a

1) Use matehmatical induction to prove that 1 1! + 2 2! + + n n! = (n + 1)! 1 whenever n is a positive integer.

2) Use mathematical induction to prove that Pn i=1 1 2 i = (2n 1)/2 n whenever n is a positive integer.

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