For each of the following functions f(n), show a function g(n) such that f(n) E e(g(n)) and orovide a proof of this relationship. Your proof can be based on the limit test or the formal lefinitions of 0, 0, and N. (0.5 point each) a. f(n) = 3n - 5n + 4 %3D b. f(n) = (n' log,n c. f(n) = 4 · 2 30n + 7)* 4

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