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Problem 3: Give asymptotic estimates, using the -notation, for the following functions: (a) 3n3+5n22n+4 (b) 3n2logn+2n+n3 (c) 3n+lognn2+nlog3n (d) 7n4+n3log2n+3n (e) log9n+n34n+5n Justify your answer.

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Problem 3: Give asymptotic estimates, using the -notation, for the following functions: (a) 3n3+5n22n+4 (b) 3n2logn+2n+n3 (c) 3n+lognn2+nlog3n (d) 7n4+n3log2n+3n (e) log9n+n34n+5n Justify your answer. For part (a), use the definition of the -notation. For parts (b) - (e), use asymptotic relations between the basic reference functions: nb,logn, and cn

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