3. Consider f(n) = n/ logn and g(n) = (log n)los". Determine and prove if f(n) or g(n) grows faster by applying the following rules in the right order; one rule can be applied more than once (here all logarithms are based 2): (a) If s(n) = o(t(n)) then 2s(n) = (2t(n) ) (b) If s(n) = w(1) then log s(n) = o(s(n)). (c) log a/b = log a - log b (d) log a = blog a (e) a = 2log a (f) If t(n) = o(s(n)) then s(n) - t(n) = 0(s(n)). (g) log log n -+ 00 (h) if s(n) -> co then t(n) = o(s(n)t(n))