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Given two functions f,g : R+ 7R, 1. f O(g(n)) if and only if c R+,n0 R0(n n0 (f(n) cg(n))). 2. f (g(n)) if and
Given two functions f,g : R+ 7R,
1. f O(g(n)) if and only if c R+,n0 R0(n n0 (f(n) cg(n))).
2. f (g(n)) if and only if c R+,n0 R0(n n0 (f(n) cg(n))).
3. f (g(n)) if and only if O(g(n)) and (g(n)).
2. Prove that each of the following are false (using the definitions of O and ).
(c) 4n O(2n).
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