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18 Cards in this Set
- Front
- Back
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When is a p series convergent? |
When p is greater than one |
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When is a p series divergent |
When p is less than or equal to one |
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When is a geometric series convergent? |
When r falls between the open set (-1,1) |
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When is a series absolutely convergent |
When the limit of the absolute value of the series is less than one |
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When is a series divergent using the root/ratio test |
When L is greater than one or equal to infinity |
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When is the root test inconclusive |
When L is equal to one |
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When using the limit comparison test, what does the limit tell you? |
If the limit evaluates to a positive number, then both series either converge or diverge |
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When is an improper integral convergent? |
When the limit exists |
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When is an improper integral convergent? |
When the limit exists |
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When is an improper integral divergent? |
When the limit is infinity |
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When is a sequence convergent? |
When the limit exists |
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When is a sequence divergent |
When the limit equals infinity |
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When is a series convergent |
When it’s sequence of partial sums is convergent |
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How to find the sun of a series |
The sum of a series is equal to the limit of its sequence of partial sums |
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Test for divergence |
If the limit of the sequence does not equal zero, then the series is divergent |
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Alternating series test |
When the main term is greater than zero, the series is convergent when Bn+1 is less than or equal to bn and the limit of the main term equals 0 |
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When is a series conditionally convergent |
When the series converges, but it’s absolute value does not |
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Limit of the nth root of some polynomial |
Always 1 |
