Difference: ConvergenceTests (1 vs. 2)

Revision 22008-11-17 - Main.DickFurnas

Line: 1 to 1
 
META TOPICPARENT name="InfiniteSeriesSynopsis"

Convergence Tests

Table of Contents
Changed:
<
<
Name Statement Comments
Divergence Test If then may or may not converge.
Hint: Use the behavior of the limit, how goes to zero, as a clue!
Comparison Test Let be series with positive terms such that:

if converges then converges.
Similarly, if diverges, then diverges. 		While this test is the foundation of most other tests, use it as a last resort. Other tests are often easier to apply.
>
>

Divergence Test

Statement
Comment
then may or may not converge.
Hint: Use the behavior of the limit, how goes to zero, as a clue!
 
Added:
>
>

Comparison Test

Statement
be series with positive terms such that:

converges then converges.
Similarly, diverges, then diverges.
Comment
While this test is the foundation of most other tests, use it as a last resort. Other tests are often easier to apply.
 
Added:
>
>
 -- DickFurnas - 16 Nov 2008

Revision 12008-11-16 - Main.DickFurnas

Line: 1 to 1
Added:
>
>
META TOPICPARENT name="InfiniteSeriesSynopsis"

Convergence Tests

Table of Contents

Name Statement Comments
Divergence Test If then may or may not converge.
Hint: Use the behavior of the limit, how goes to zero, as a clue!
Comparison Test Let be series with positive terms such that:

if converges then converges.
Similarly, if diverges, then diverges. 		While this test is the foundation of most other tests, use it as a last resort. Other tests are often easier to apply.

-- DickFurnas - 16 Nov 2008

View topic | History: r3 < r2 < r1 | More topic actions...
 
This site is powered by the TWiki collaboration platformCopyright © by the contributing authors. All material on this collaboration platform is the property of the contributing authors.