Question: 5. ( 16 pts) In each case, compare the two functions with respect to their asymptotic growth rate. In each case state how the first

5. ( 16 pts) In each case, compare the two functions with respect to their asymptotic growth rate. In each case state how

5. ( 16 pts) In each case, compare the two functions with respect to their asymptotic growth rate. In each case state how the first function in the pair compares to the second (i.e. is it slower, faster. or with the same asymptotic growth rate that the second). Justify your answers. (Use the the limit approach discussed in class and any definitions and math rules you might need). (a) 2n lg n vs n2 (b) 2nIgn vs lg4n (c) 5n3 + n2 +4 vs n3 (d) 5 log2 n vs Vn

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