Question: Problem 2 . Use mathematical induction to show that when n is an exact power of 2 , the solution of the recurrence T (

Problem 2. Use mathematical induction to show that when n is an exact power of 2, the solution of the recurrence
T(n)={2,n=22T(n2)+n,n=2k,fork>1
is T(n)=nlg(n). Note that lg(n)=log2(n).
Problem 2. Use mathematical induction to show that when n is

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