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1. (5 points) For each of the asymptotic relationships shown in the table below indicate whether it is TRUE or FALSE and explain why. Assume the following function definitions: fin) = log (n!) f2(n) = n 1.5 f3(n) = n(logn)?/log(n) f4(n) = n/(log n100 f(n) = (logn)100 fo(n) = 2logn True or False Why? fi(n) is Of(n)) fi(n) is of(n)) fs(n) is 2(fon)) fs(n) is 2 (n)) fan) is O(f(n))