More recurrence examplesGive asymptotic upper and lower bounds for T(n) in each of the fol...

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) = 3T(n/2) + n lg n.

b. T(n) = 5T(n/5) + n/lg n.

c.

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-l) + l/n.

h.T(n) = T(n-l) + lg n.

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

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