(10 points) For each pair of functions below, state which grows faster asymptotically. If they both grow at the same rate asymptotically, please state that. You are not required to provide a formal proof, but you must give a good informal argument for your solutions. (a) f(n)=lgn,g(n)=lg2n (b) f(n)=lgn,g(n)=lglgn (c) f(n)=2n,g(n)=2n+, where is a small positive constant