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Software algorithms and implementation

Question:

Software Algorithms and Implementation

Give the order of each of the following functions.

T_A(n) = 200(n +4)³
T_B(n)= n⁴ + 300n³log₂(n)
T_C(n)=(2n +3)²log₃(n)

Suppose that each is the time efficiency function of an implementation of the same function (TA(n) for implementation A, and so on). Which of the implementations (A, B or C) will be the most efficient for very large values of n? Please explain.

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