Question: (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.

(10 points) For each pair of functions below, state which grows

(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

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