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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: Harlan's World
Registered: 2011-05-23
Posts: 16,037

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
The knowledge of some things as a function of age is a delta function.

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

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.
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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