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Find the best possible relationship using one of the notations: O, Ω, Θ, o, ω, for...

Find the best possible relationship using one of the notations: O, Ω, Θ, o, ω, for the following pairs of functions: n 3 + 6n 1.5 + 3100 and n lg8 − 10n 1.6 − 9000; nlgn and n 1.01; 3n and (3.01)n ; 7n and n!. Justify each answer.

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