# infinite series and power series

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• May 12th 2009, 09:40 PM
fearless901
infinite series and power series
hi guys, anyone have any good websites about these series and if theres any way to remember all those different tests to prove if the series or absolutely or conditionally convergent and divergent.

And also, i always get confused what is convergent and what is divergent

Covergent basically = to any number??
and divergent = to infinity ??
• May 12th 2009, 09:53 PM
redsoxfan325
Quote:

Originally Posted by fearless901
hi guys, anyone have any good websites about these series and if theres any way to remember all those different tests to prove if the series or absolutely or conditionally convergent and divergent.

And also, i always get confused what is convergent and what is divergent

Covergent basically = to any number??
and divergent = to infinity ??

Convergent means that there is some finite number that the series converges to.

Divergent means the series sums to $\displaystyle \pm\infty$ or that the series fluctuates between several values (like $\displaystyle \sum (-1)^n$, for instance, a series who's sum fluctuates from 0 to 1 forever).
• May 13th 2009, 04:21 AM
Jester
Quote:

Originally Posted by fearless901
hi guys, anyone have any good websites about these series and if theres any way to remember all those different tests to prove if the series or absolutely or conditionally convergent and divergent.

And also, i always get confused what is convergent and what is divergent

Covergent basically = to any number??
and divergent = to infinity ??

Try UT-Knoxville here

http://archives.math.utk.edu/visual....s/6/index.html

It's a pretty good site.