Math Is Fun Forum

{7/3}

Member

Registered: 2013-02-11

Posts: 210

Convergence

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

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anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Convergence

Hi

Here are some basic ones: http://www.mathisfunforum.com/viewtopic.php?id=17887

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{7/3}

Member

Registered: 2013-02-11

Posts: 210

Re: Convergence

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

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

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)

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