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| 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. |
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