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9.5 Testing Convergence at Endpoints Quick Review.

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Presentation on theme: "9.5 Testing Convergence at Endpoints Quick Review."— Presentation transcript:

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2 9.5 Testing Convergence at Endpoints

3 Quick Review

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5 Quick Review Solutions

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7 What you’ll learn about Integral Test Harmonic Series and p-series Comparison Tests Alternating Series Absolute and Conditional Convergence Intervals of Convergence A Word of Caution … and why Additional tests for convergence of series are introduced in this section.

8 The Integral Test

9 Example Applying the Integral Test

10 Harmonic Series p-series

11 The Limit Comparison Test (LCT)

12 Example Using the Limit Comparison Test

13 The Alternating Series Test (Leibniz’s Theorem)

14 The Alternating Series Estimation Theorem

15 Rearrangement of Absolutely Convergent Series

16 Rearrangement of Conditionally Convergent Series

17 How to Test a Power Series for Convergence

18 Example Finding Intervals of Convergence

19 Procedure for Determining Convergence

20 Quick Quiz Sections 9.4 and 9.5

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26 Pg. 386, 7.1 #1-25 odd


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