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#1 2013-02-27 19:06:07

{7/3}
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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.

#2 2013-02-27 19:09:29

anonimnystefy
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Re: Convergence


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

#3 2013-02-27 21:19:52

{7/3}
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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.

#4 2013-02-27 22:00:09

bobbym
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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 (2013-02-27 22:10:04)


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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