Question: ( 6 points ) Use mathematical induction to show that when n is an exact power of 2 , the solution of the following recurrence

(6 points) Use mathematical induction to show that when n is an exact power of 2, the solution of the following recurrence is T(n)=O(nlgn)
T(n)={2ifn=22T(n2)+nifn=2k,fork>1
( 6 points ) Use mathematical induction to show

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