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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: 81,665

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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