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Old 09-21-2015, 04:48 PM
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magdon magdon is offline
Join Date: Aug 2009
Location: Troy, NY, USA.
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Default Re: Problem 2.5 - Proof by induction

Your approach can work. To carry through your induction, you need an inequality like N^D+DN^{D-1}\le (N+1)^D to allow you to connect the result after applying your induction hypothesis with what you are trying to prove.

You can also prove the result by induction on D, which is easier (instead of induction on N).

Originally Posted by sayan751 View Post
After seeing the reply from Prof. Mostafa, I have attempted to solve problem 2.5. I have also attached my solution with this reply.

However, I am not sure whether my approaches are right or not. It would be great if someone please validate my approaches. I know my approaches are naive, thus any pointer, how to improve this solution would be highly appreciated.

Thank You.
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