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1. Give asymptotic upper and lower bounds for each of the following recurrences using the method of expansion (iteration). For all recurrences, assume that T(n)

1. Give asymptotic upper and lower bounds for each of the following recurrences using the method of expansion (iteration). For all recurrences, assume that T(n) is a constant for n 2 and n is an exact power of 2.

a. T(n) = T(n/2) + n b. T(n) = 2T(n/2) + 2n c. T(n) = T(n) + 1 d. T(n) = 2T(n 1) + 1

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