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Date tag: February 8 2010 8:42:10
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Date tag: February 8 2010 8:42:1
Big O notation and Taylor polynomials.
Date tag: February 8 2010 8:33:32
Big O notation
Date tag: February 5 2010 9:21:16
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Date tag: February 5 2010 9:19:17
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Date tag: February 5 2010 9:15:40
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Date tag: February 5 2010 9:13:26
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Date tag: February 5 2010 9:9:54
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Date tag: February 5 2010 9:7:1
A key idea of this notation is that multiplicative constants do NOT affect the general behavior of a function so they should be ignored.
Date tag: February 5 2010 9:2:47
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Date tag: February 5 2010 9:2:37
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Date tag: February 5 2010 8:57:56
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Date tag: February 5 2010 8:57:40
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Date tag: February 5 2010 8:46:17
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Date tag: February 5 2010 8:46:2
Given two functions f and g, f is on the order of g as x approaches x0 if there is a positive constant A such that f is less than Ag on some interval around x0.
Date tag: February 5 2010 8:40:50
Order symbols: Our goal is to develop a notation that emphasizes the behavior of a function and ignores the details.
Date tag: February 5 2010 8:40:44
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Date tag: February 3 2010 10:5:4
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Date tag: February 3 2010 10:4:56
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Date tag: February 3 2010 10:4:46
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Date tag: February 3 2010 10:4:33
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Date tag: February 3 2010 10:4:14
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Date tag: February 3 2010 10:4:8
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Date tag: February 3 2010 10:4:1
Calculus 119 math tutorial.
Date tag: February 3 2010 9:23:13
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Date tag: February 3 2010 9:18:31
Binomial expansion.
Date tag: February 3 2010 9:12:50
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Date tag: February 3 2010 9:10:21
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Date tag: February 3 2010 9:10:9
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Date tag: February 3 2010 9:4:47
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Date tag: February 3 2010 9:1:22
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Date tag: February 3 2010 9:1:6
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Date tag: February 3 2010 8:50:1
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Date tag: February 3 2010 8:46:4
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Date tag: February 3 2010 8:39:41
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Date tag: February 3 2010 8:39:27
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Date tag: February 3 2010 8:39:20
Power series centered at x. Radius of convergence.
Date tag: February 1 2010 9:18:39
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Date tag: February 1 2010 9:12:21
Alternating series test.
Date tag: February 1 2010 9:9:3
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Date tag: February 1 2010 9:6:30
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Date tag: February 1 2010 9:0:18
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Date tag: February 1 2010 8:54:25
R is called the radius of convergence. There are 3 possibilities for where a power series converges based on R. If R is 0 the series converges only at x equals x0. If r is infinity the series converges everywhere. If R is finite the series converges absolutely on the interval x0 minus R to x0 plus R.
Date tag: February 1 2010 8:54:8
The values of x where the series converges is called the interval of convergence. Intervals are always centered at x0.
Date tag: February 1 2010 8:48:27
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Date tag: February 1 2010 8:42:51
Power series
Date tag: February 1 2010 8:40:1
Root test
Date tag: February 1 2010 8:35:33
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Date tag: February 1 2010 8:35:16
Convergence, Divergence, Absolute convergence, Conditionally convergence. Ratio test.
Date tag: January 29 2010 9:19:56
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