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1. For each f(n) of the following, find the tightest choice of g(n) such that f(n) = (g(n)) and prove it: (a) f(n) = 5n3

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1. For each f(n) of the following, find the tightest choice of g(n) such that f(n) = (g(n)) and prove it: (a) f(n) = 5n3 + 4n+1 (b) f(n) = 16 (e) f(n) = 12n + 12n Ig(241) (a) f(n) = (n + 4) lg 4- (n +1473 - n lg na) (e) f(n) = 3n lg(n+5) +2Vn [ign (f) f(n) = 218((n)! + 2n3

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