Question: Let a(n), b(n), g(n) be positive non-decreasing functions. (a) Prove (using the definitions of and O) that if T (n) = a(n) + b(n), such

Let a(n), b(n), g(n) be positive non-decreasing functions.
(a) Prove (using the definitions of and O) that if T (n) = a(n) + b(n), such that a(n)
(g(n)) and b(n) O(g(n)) then T(n) (g(n))
(b) Show (as a corollary) that if T (n) = (nlogb a) + O(nlogb a) then T (n) (nlogb a)

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