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Consider the recursive: L(n) = 1+ 2L(n/2) if n>1 and L(n) = 0 if n=1 Prove that: L(n) = (n)

Consider the recursive:

L(n) = 1+ 2L(n/2) if n>1 and L(n) = 0 if n=1

Prove that: L(n) = (n)

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