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Indicate, for each pair of expressions (A, B) in the table below, whether A is O, o, 2, w, or of B. Assume that k ≥ 1, € > 0, and c > 1 are constants. Your answer should be in the form of the table with “yes” or “no” written in each box. A B 0 0 Ω W Θ a. lgk n n€ b. nk cn C. n nsinn d. 2n 2n/2 e. n¹ge clgn f. lg(n!) lg(n")

Indicate, for each pair of expressions (A, B) in the table below, whether A is O, o, 2, w, or of B. Assume that k ≥ 1, € > 0, and c > 1 are constants. Your answer should be in the form of the table with “yes” or “no” written in each box. A B 0 0 Ω W Θ a. lgk n n€ b. nk cn C. n nsinn d. 2n 2n/2 e. n¹ge clgn f. lg(n!) lg(n")

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Indicate, for each pair of expressions (A, B) in the table below, whether A is O, o, 2, w, or of B. Assume that k ≥ 1, € > 0, and c > 1 are constants. Your answer should be in the form of the table with “yes” or “no” written in each box. A B 0 0 Ω W Θ a. lgk n n€ b. nk cn C. n nsinn d. 2n 2n/2 e. n¹ge clgn f. lg(n!) lg(n")
Transcribed Image Text:Indicate, for each pair of expressions (A, B) in the table below, whether A is O, o, 2, w, or of B. Assume that k ≥ 1, € > 0, and c > 1 are constants. Your answer should be in the form of the table with “yes” or “no” written in each box. A B 0 0 Ω W Θ a. lgk n n€ b. nk cn C. n nsinn d. 2n 2n/2 e. n¹ge clgn f. lg(n!) lg(n")
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