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3, Let f, g : N R+. Prove or disprove the following statements (a counterezample is sufficient to disprove something): (a) (5 pts) If f(n)

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3, Let f, g : N R+. Prove or disprove the following statements (a counterezample is sufficient to disprove something): (a) (5 pts) If f(n) - 0(otn) then gn) O(f(n)) (b) (5 pts) If f(n) O(g(n)) then gn) 2(f(n)) (c) (5 pts) f(n)-6(f(n/2))

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