Question: Solve the recurrences (use the recursion tree method, or guess a solution and prove the guess by induction): T(n) = 3T(n/5) + n lg n

Solve the recurrences (use the recursion tree method, or guess a solution and prove the guess by induction):

T(n) = 3T(n/5) + n lg n

T(n) = 2T(n/5) + n lg n

T(n) = 2T(n/4) + n lg n

Please write answers in detail.

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