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

This topic: MSC > WebHome > MscCapsules > InfiniteSeriesSynopsis > ConvergenceTests
Topic revision: r1 - 2008-11-16 - DickFurnas
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