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#1 2013-02-26 20:06:07

{7/3}
Member
Registered: 2013-02-11
Posts: 210

Convergence

Are there tests to see if a sequence (not series) converges?


There are 10 kinds of people in the world,people who understand binary and people who don't.

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#2 2013-02-26 20:09:29

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,522

Re: Convergence


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#3 2013-02-26 22:19:52

{7/3}
Member
Registered: 2013-02-11
Posts: 210

Re: Convergence

Those are series tests i asked for sequence tests,sorry for disturabing.


There are 10 kinds of people in the world,people who understand binary and people who don't.

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#4 2013-02-26 23:00:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,264

Re: Convergence

Hi;

You have to determine the limit of the general term.

http://faculty.eicc.edu/bwood/ma155supp … ntal19.htm

Generally if a sequence has a limit it is convergent, if not then it is divergent.

A bit more rigorous, if the limit of a  sequence exists or is finite then the sequence converges, If the limit does not exist or is infinite then the sequence diverges.

Last edited by bobbym (2013-02-26 23:10:04)


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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