Question: Question 1 Which asymptotic notations f(n) = X(g(n)) are valid for the following pairs of functions: (a) f(n) = nk and g(n) = c where

Question 1 Which asymptotic notations f(n) = X(g(n)) are valid for

Question 1 Which asymptotic notations f(n) = X(g(n)) are valid for the following pairs of functions: (a) f(n) = nk and g(n) = c" where c > 1, k> 1. (b) f(n) = 2M and g(n) = 21/2. (c) f(n) = 3n Inn - n and g(n) = ln(n"). (Note that "In" denotes the natural logarithm.)

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