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Date tag: January 29 2010 9:19:19
It turns out that the terms in ANY conditionally convergest series can be rearranged to form ANY finite number. Ratio test
Date tag: January 29 2010 9:12:43
A converging series that does NOT converge absolutely is conditionally convergent.
Date tag: January 29 2010 9:8:26
Any converging series containing only positive terms is absolutely convergent. If the series converges absolutely then it also converges. Rearranging the terms in a series that converges absolutely does NOT change the value it convergest to.
Date tag: January 29 2010 9:5:59
Absolute versus conditional convergence.
Date tag: January 29 2010 8:59:0
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Date tag: January 29 2010 8:58:53
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Date tag: January 29 2010 8:52:5
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Date tag: January 29 2010 8:45:42
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Date tag: January 29 2010 8:45:22
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Date tag: January 29 2010 8:39:15
Alternating series test.
Date tag: January 28 2010 9:37:20
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Date tag: January 28 2010 9:37:6
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Date tag: January 28 2010 9:36:57
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Date tag: January 28 2010 9:36:48
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Date tag: January 28 2010 9:36:15
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Date tag: January 28 2010 9:36:1
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Date tag: January 28 2010 9:35:50
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Date tag: January 28 2010 9:35:31
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Date tag: January 28 2010 9:35:16
Calculus math 119 tutorial
Date tag: January 27 2010 9:16:52
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Date tag: January 27 2010 9:10:42
The integral test, the comparison test, and the limit comparison test, all assume that the series only have non negative numbers. Integral bad things can happen if we have some negative terms in the series.
Date tag: January 27 2010 9:7:59
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Date tag: January 27 2010 9:7:50
Limit comparison test
Date tag: January 27 2010 8:59:35
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Date tag: January 27 2010 8:56:11
Comparison test.
Date tag: January 27 2010 8:53:23
p series
Date tag: January 27 2010 8:50:8
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Date tag: January 27 2010 8:45:5
Integral test
Date tag: January 27 2010 8:44:55
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Date tag: January 27 2010 8:40:19
Calculating the series in general is hard but determining if a series converges is easy. Tests for divergence, aka the Nth term test.
Date tag: January 27 2010 8:33:9
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Date tag: January 25 2010 9:21:24
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Date tag: January 25 2010 9:15:12
General series
Date tag: January 25 2010 9:15:4
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Date tag: January 25 2010 9:7:35
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Date tag: January 25 2010 9:1:33
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Date tag: January 25 2010 8:55:42
Geometric series.
Date tag: January 25 2010 8:51:7
In terms of Taylor series, we can plug in a value for x to get a series of constants. The question is whether the resulting series of constants converges or not.
Date tag: January 25 2010 8:51:0
Note that we can start a series with any starting index. In general any extra or missing initial terms will not affect the behavior of the series in therms of whether it converges or not.
Date tag: January 25 2010 8:45:38
convergence
Date tag: January 25 2010 8:39:59
Given any series we are interested in 2 sequences. The first is the sequence of terms in the series ak, and the second is the sequence of partial sums sn. To calculate what the series adds up to, focus on the sequences of partial sums.
Date tag: January 25 2010 8:36:17
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Date tag: January 25 2010 8:36:4
When are Taylor polynomials useful for approximating.
Date tag: January 22 2010 9:19:5
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Date tag: January 22 2010 9:16:41
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Date tag: January 22 2010 9:12:36
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Date tag: January 22 2010 9:9:38
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Date tag: January 22 2010 9:6:16
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Date tag: January 22 2010 9:1:34
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Date tag: January 22 2010 8:58:49
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