Question: Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for sufficiently small n. Make your

Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for sufficiently small n. Make your bounds as tight as possible, and justify your answers.

a. T(n) = 3T(n/2) +n lg n. b. T(n) = 5T(n/5) + nl lg n. T(n) = 4T (n/2) + n' n d. T(n) = 3T(n/3 + 5) +n/2. e. T(n) = 2T(

a. T(n) = 3T(n/2) +n lg n. b. T(n) = 5T(n/5) + nl lg n. T(n) = 4T (n/2) + n' n d. T(n) = 3T(n/3 + 5) +n/2. e. T(n) = 2T(n/2) + n/ lg n. f. T(n) = T(n/2)+ T(n/4) + T(n/8) +n. g. T(n)= T(n- 1) + 1/n. %3D c. h. m) %3 ( -1) + 1g n. i. T(n) = T(n - 2) + 2 lg n. j. T(n) = nT (n) +n.

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