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#1 2013-03-07 02:33:30

White_Owl
Member
Registered: 2010-03-03
Posts: 99

Summation of harmonic sequence

Problem:


Here c is a positive constant, find is this sequence convergent or divergent and if it is convergent, what it converges to?

I see that the series is convegent.

And I also see that it converges to some value which is bigger than 1/c, but less than 2/c.
But what exactly is the value? How to reach it?

Last edited by White_Owl (2013-03-07 02:33:44)

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#2 2013-03-07 13:00:07

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: Summation of harmonic sequence

Hi;

If you are summing it, it is a series not a sequence. That type do not converge.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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