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(10 points) Rank the following functions of n by orders of growth. You do not have to provide reasons for your ordering. Though, justifying your

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(10 points) Rank the following functions of n by orders of growth. You do not have to provide reasons for your ordering. Though, justifying your work may earn you partial credit. 12(lgn)n22nlg(2)nnlgnlg2nn!n3 lgnn2lgnnnn100n222(n+1)2nlg(n!) Notations: Recall that lgn=log2n. Also lg(2)n=lglgn=lg(lg(n)), and lg2n= (lgn)2=lgnlgn

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