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

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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,822

Hi

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

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

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,385

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.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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