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Q1. (5 points) Rank the following functions by asymptotic growth from the slowest growing to the fastest growing. n vn, n!, log(log n), n, log
Q1. (5 points) Rank the following functions by asymptotic growth from the slowest growing to the fastest growing. n vn, n!, log(log n), n", log (n100), n?, 2(n?), n log n, 3" (loglog n) 100 Q2. (5 points) Assume the following function definitions: fi(n) = n log(n100) f4(n) = 2logn f2(n) = nvn fs(n) = (log log n) f3(n) = log(n!) fo(n) = n/(log n)100 100 For each of the asymptotic relationships shown in the table below indicate whether it is TRUE or FALSE and state why. True/False Why? fi(n) is 2f2(n)) fe(n) is O(f(n)) fs(n) is (fo(n)) fa(n) is 2(f(n)) fi(n) is (f(n))
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