![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!<nn, or if its not correct, you will need to prove the contrary statement: n! 2 n.You can assume n is an integer greater than 1 b)](http://d2vlcm61l7u1fs.cloudfront.net/media%2F792%2F7929676f-aa32-43b5-8856-07530e70246c%2Fphpg5XpkS.png)
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!<nn, or if it’s not correct, you will need to prove the contrary statement: n! 2
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