RedAssign10[1].4 - Unit: Sequences and Series Module: The...

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Unit: Sequences and Series Module: The Limit Comparison Test [page 1 of 2] Introduction to the Limit Comparison Test www.thinkwell.com info@thinkwell.com Copyright 2001, Thinkwell Corp. All Rights Reserved. 1665 –rev 06/15/2001 The limit comparison test : Consider two series = 1 n n a and = 1 n n b , with a n > 0, b n > 0, and →∞ = lim n n n a L b . If << 0 L , then either both series converge or both diverge. The direct comparison test enables you to determine if a series is convergent or divergent by comparing the unknown series to a known series. It isn’t always easy to find a familiar series that bounds the unknown series. The presence of inequalities makes the direct comparison test somewhat impractical for analyzing many series. It would be good to find a series test that didn’t require you to compare two series together with an inequality. Consider two arbitrary series whose terms are positive. You can actually learn about the behavior of the two
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This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.

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RedAssign10[1].4 - Unit: Sequences and Series Module: The...

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