Convergence Tests

Divergence Test

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

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.


-- DickFurnas - 16 Nov 2008


This topic: MSC > WebHome > MscCapsules > InfiniteSeriesSynopsis > ConvergenceTests
Topic revision: r2 - 2008-11-17 - DickFurnas
 
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