Give asymptotic upper an= lower bounds for T (n) in each of the following recurrences. Assume that

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Give asymptotic upper an= 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) = 4T (n/2) + n²√n.

c. T (n) = 2T (n/2) + n/ lg n.

d. T (n) = T (n/2) + T (n/4) + T (n/8) + n.

e. T (n) = T(n - 1) + 1/n.

f. T (n) = T(n - 1) + lg n.

g. T (n) = T (n - 2) + 2 lg n

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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Question Posted: Dec 22, 2018 12:13 PM

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Give asymptotic upper an= lower bounds for T (n) in each of the following recurrences. Assume that

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a T n 3T n2 n lg n We have f n n lg n and n log b a n lg 3 n 1585 SincenlgnOn lg 3 for any0 0 We hav...View the full answer

Introduction to Algorithms

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