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1. Use induction to prove that for all integers n 2 : (1-1/2)*(1-1/3)*(1-1/4)*.....*(1-1/n) = 1/n 2. Use induction to prove that for all integers n
1. Use induction to prove that for all integers n 2:
(1-1/2)*(1-1/3)*(1-1/4)*.....*(1-1/n) = 1/n
2. Use induction to prove that for all integers n 1:
2 2^1 +3 2^2 +4 2^3 +...+(n+1) 2^n = n 2^(n+1).
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