Strategy For Testing Series | Which Test to Use ? | Calculus II

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Testing series always becomes a challenge for students. In this review we study certain strategies to figure out what test would be the best to try. We use the following order and it works most of the time.

Topics Lineup
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0:00 Intro
0:34 Two questions
10:18 Practice problems (Telescoping)
13:07 Strategies for Series
(1) Divergence Test 13:53
(2) p-Series 21:25
(3) Geometric series 27:50
(4) Comparison Tests (DCT & LCT) 42:07
* Important inequalities 54:32
* List of problems 56:17
(5) Alternating Series Test (AST) 1:06:48
(6) Ratio Test 1:12:32
(7) Root Test 1:21:31
(8) Integral Test 1:30:16
Practice Problems 1:35:19

Test for convergence of series reviews.
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#Mathematics #Calculus #TestingSeries
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Topics Lineup

0:00​ Intro
0:34​ Two questions
10:18​ Practice problems (Telescoping)
13:07​ Strategies for Series
(1) Divergence Test 13:53​
(2) p-Series 21:25​
(3) Geometric series 27:50​
(4) Comparison Tests (DCT & LCT) 42:07​
* Important inequalities 54:32​
* List of problems 56:17​
(5) Alternating Series Test (AST) 1:06:48​
(6) Ratio Test 1:12:32​
(7) Root Test 1:21:31​
(8) Integral Test 1:30:16​
Practice Problems 1:35:19

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