5. (10 points) Place these functions in order from slowest asymptotic growth to fastest asymptotic growth. You will want to simplify them algebraically before comparing them. Give a short justification (a proof is not necessary) of how you came to this ordering. The notation lgn stand for log, n. fo(n) fi(n) f2(n) n'gn 16'gn 321/5 8 = on " = f3(n) = fa(n) = fs(n) fe(n) f7(n) fe(n) fg(n) lgn Inn+2021 n n + n - n +1 33n In In Inn = 2021 'n = n2021 2