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    Solve the Recurrence and Find the Asymptotic Bound

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    1. Solve the recurrence exactly and prove your solution is correct by induction.

    T(1) = 1 , T(n) = 2T(n-1)+2n-1
    T(1) = 1, T(n) = T(n-1)+3n-3

    2. Give asymptotic bound for the following:

    T(n) = 9T(n/3)+n2
    T(n) = T(Sqrt(n))+1.

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    Solution Summary

    A recurrence is solved and an asymptotic bound is found. The solution is detailed and well presented.