Question: Q1. [20 marks] Sort the functions below in ascending order of growth rate and justify your answer using big-O notation. - fi(n) = n +

 Q1. [20 marks] Sort the functions below in ascending order of

Q1. [20 marks] Sort the functions below in ascending order of growth rate and justify your answer using big-O notation. - fi(n) = n + n/2 + n/4+ n/8 + n/16 +... - f2(n) = n + 2 + f2(n 1) when n > 1, f2(1) = 1 - f(n) = n* (n 1) * (n - 2) *...* 3 * 2 * 1 - f(n) = 2 + f([n/2]) when n > 1, f(1) = 1 - f(n) = n1.5, fo(n) = (1 +1)", f(n) = 2" +

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