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5. (20 points) List the following functions in the order of decreasing growth rate by testing dominance. All logarithms are to the base 2. Use

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5. (20 points) List the following functions in the order of decreasing growth rate by testing dominance. All logarithms are to the base 2. Use one or two lines of justification if required 2log n, n0.99, log(n"), 4log log n, log log n, log n, n log2 n, 4logn, n1/logn, nlogV2 You can use the following known properties of logarithm: logb an = n log a, logb a = log a/ log, b, log, a 1 / loga b, alogb c-clog, a

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