
Re: Induction proof
Posted:
Aug 19, 2006 6:32 PM


It is also possible to bound the series on the leftt with the telescoping series right away:
1/n*n < 1/n * 1/(n1) = 1/n  1/(n1).
Then the problem common to both proofs becomes quite apparent. In the limit, the proof leads to "<=" and not the required "<"?
One more step is needed.
A. Bogomolny http://www.cuttheknot.org

