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1: Sort the following functions by increasing order of complexity; if applicable, you need to prove stronger results that involve small-o or small- notations.

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1: Sort the following functions by increasing order of complexity; if applicable, you need to prove stronger results that involve "small-o" or "small- " notations. Also, show your work with detailed explanation, just writing the order will not provide you any credit. n!,2n,nlgn,nlgn,nn

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