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Give asymptotic upper and lower bounds for T(n)in each of the following recurrences. Assume that T(n)is constant forn10. Make your bounds as tight as possible,

Give asymptotic upper and lower bounds for T(n)in each of the following recurrences. Assume that T(n)is constant forn10. Make your bounds as tight as possible, and justify your answers.

1.T(n)=3T(n/5) +lg^2(n)

2.T(n)=T(n^.5)+(lglgn)

3.T(n)=T(n/2+n^.5)+6046

4.T(n) =T(n/5)+T(4n/5) +(n)

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