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META TOPICPARENT |
name="InfiniteSeriesSynopsis" |
Convergence Tests
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Name |
Statement |
Comments |
Divergence Test |
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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. |
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Divergence Test
- Statement
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- Comment
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then may or may not converge. Hint: Use the behavior of the limit, how goes to zero, as a clue!
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> > | Comparison Test
- Statement
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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.
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| -- DickFurnas - 16 Nov 2008 |