More recurrence examples Give asymptotic upper and lower
Chapter 4, Problem 4-3(choose chapter or problem)
More recurrence examples 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/ D 4T .n=3/ C n lg n. b. T .n/ D 3T .n=3/ C n= lg n. c. T .n/ D 4T .n=2/ C n2pn. d. T .n/ D 3T .n=3 2/ C n=2. e. T .n/ D 2T .n=2/ C n= lg n. f. T .n/ D T .n=2/ C T .n=4/ C T .n=8/ C n. g. T .n/ D T .n 1/ C 1=n. h. T .n/ D T .n 1/ C lg n. i. T .n/ D T .n 2/ C 1= lg n. j. T .n/ D pnT .pn/ C n.
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