Question: Which function grows faster: f(n)=n! or g(n) = n? WHY? [Extra Credit] [10pts]. a) Draw graphs of both and analyze the behavior for n->00.

Which function grows faster: f(n)=n! or g(n) = n"? WHY? [Extra Credit] [10pts]. a) Draw graphs of both and analyze the behavior for n->00. b) Prove by mathematical induction that n!

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