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Are the following two statements true or false? If a statement is true, provide a formal proof based on the definitions of the order notations.

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Are the following two statements true or false? If a statement is true, provide a formal proof based on the definitions of the order notations. If a statement is false, provide a counterexample and explain it. Functions f and g are positive functions. a) If h(n) =0(1) and f(n) = 2(g(n), then f(n) = 12 (18(m). We assume that h(n) > 0) for all n. b) If fi(n) = 0(91(n)) and fe(n) = 0(92(n)), then fi(n) - fe(n) = 0(9 (n) - 92(n))

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