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Give the asymptotic bounds for T(n) in each of the following recurrences. Make your bounds as tight as possible and justify your answers. Assume the

Give the asymptotic bounds for T(n) in each of the following recurrences. Make your bounds as tight as possible and justify your answers. Assume the base cases T(0)=1 and/or T(1) = 1.

a) T(n) = 2T( n 2) + 1

b) T(n) = T( n 1) + n^3

c) T(n) = 2T (n/6 ) + 2n^2

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