2. (20) Arrange the following functions in increasing order of big O, i.e., a function in your list must be big O of the next function. Give all justifications. nyn, 23 log log n, (log n)2, 2(log n),...

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Extracted text: 2. (20) Arrange the following functions in increasing order of big O, i.e., a function in your list must be big O of the next function. Give all justifications. nyn, 23 log log n, (log n)2, 2(log n), Vn3.1,nlcos nl, nlog n 2n, 3", n! to0)