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

Registered: 2010-03-03
Posts: 106

Summation of harmonic sequence


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)


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

From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Summation of harmonic sequence


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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.


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