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1. (20 Points) Rank the following functions from lowest to highest asymptotic growth rate. 1) n2 2) ln(n3) 3) 3n 4) ln(ln(ln(n)) 5) 2n 6)

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1. (20 Points) Rank the following functions from lowest to highest asymptotic growth rate. 1) n2 2) ln(n3) 3) 3n 4) ln(ln(ln(n)) 5) 2n 6) n3n 7) 2n 8) 2ln(n) 9) n Write your answer as a permutation of the set {1,2,3,4,5,6,7,8,9}, giving the corresponding line numbers of the above functions in the required order (left to right, slowest asymptotic growth rate to fastest asymptotic growth rate.) No justifications are required

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