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META TOPICPARENT
name="InfiniteSeriesSynopsis"
Convergence Tests
Table of Contents
Convergence Tests
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
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