How to prove f(n)=O(n) for any integer ⩾1, if f(1)=1 and f(n)=2f(⌊n/2⌋)+1 for n⩾2? Do you...

How to prove f(n)=O(n) for any integer ⩾1, if f(1)=1 and f(n)=2f(⌊n/2⌋)+1 for n⩾2?

Do you need induction? If so, how do you do it?

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The solution to your question is in the attached photos. Please refer to them for the same

We have used the method of induction for the proof

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venereology answered 7 months ago

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