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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Cauchy sequence
Replies: 22   Last Post: Dec 6, 2003 10:57 AM

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r3769@aol.com

Posts: 347
Registered: 12/12/04
Re: Cauchy sequence
Posted: Dec 5, 2003 12:51 AM
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Charlie Johnson wrote:

>
>Actually, I was just using the above sequence arbitrarily. Maybe, it was a
>poor example. I just want to know if the Cauchy convergence criteria is
>worth anything, in a practical sense. Other than showing things like
>completeness.
>

In vol 2 of Chrystal's Algebra, he shows, among other things, that
sum(i=1,inf,(1/i)*log((i+1)^2/(i*(i+2)))) converges using this method.

rich

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