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: fi(n) = log (n!) f2(n) = n 1.5 fz(n) = n(logn)? /log(na) f4(n) = n/(log n) 100 fs(n) = (logn)100 f.(n) = 2logn True or False Why? fi(n) is olf(n)) fi(n) is (f(n)) fs(n) is (fo(n)) fs(n) is (fi(n)) f(n) is offs(n))