|
A list of Important Series and Series Tests |
|
| Name of Test or Series | Notes suggesting when to use the particular test |
| Geometric Series | a series of a particular form: sigma a rn |
| Partial Fractions Series | a series of a particular form: sigma 1((n-a)(n-b)) |
| Divergence Test | "limit of the terms not zero test" |
| Harmonic Series | a particular divergent series of the form: sigma 1/n |
| Integral Test | useful when terms of series "have an antiderivative" |
| P-Series | a series of a particular form: sigma 1/np |
| Comparison Test | last resort |
| Limit Comparison Test | last resort |
| Alternating Series Test | easily recognizable as having terms with alternating signs, (-1)n |
| Ratio Test | useful for terms containing factorials and powers |
| Root Test | useful for terms containing powers |
| Theorems | series of a sum, constant multiple, etc |