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Which function grows faster: f(n)=nl or g(n)-n? WHY? [Extra Credit] [10pts] a) Draw graphs of both and analyze the behavior for n>0. Prove by mathematical

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Which function grows faster: f(n)=nl or g(n)-n"? WHY? [Extra Credit] [10pts] a) Draw graphs of both and analyze the behavior for n>0. Prove by mathematical induction that n!

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