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Ql. (5 points) Rank the following functions by asymptotic growth from the slowest growing to the fastest growing. n (logiog n) 200 vn.nl, log(log n),

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Ql. (5 points) Rank the following functions by asymptotic growth from the slowest growing to the fastest growing. n (logiog n) 200 vn.nl, log(log n), n" log (2100), nd, 2(na), n log n. 31 + Q2. (5 points) Assume the following function definitions: fi(n) = n log(n100) f.(n) fa(n) = nyn f(n) = (log log n) fz (n) = log(n!) fo(n) = n/(log n) 100 100 = 2logn 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 2(f(n)) f(n) is of(n)) f(n) is offon)) fi(n) is fi(n)) fi(n) is (f(n))

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