9.5 Testing Convergence at Endpoints Quick Review.

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Section 11.5 – Testing for Convergence at Endpoints.
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Presentation transcript:

9.5 Testing Convergence at Endpoints

Quick Review

Quick Review Solutions

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.

The Integral Test

Example Applying the Integral Test

Harmonic Series p-series

The Limit Comparison Test (LCT)

Example Using the Limit Comparison Test

The Alternating Series Test (Leibniz’s Theorem)

The Alternating Series Estimation Theorem

Rearrangement of Absolutely Convergent Series

Rearrangement of Conditionally Convergent Series

How to Test a Power Series for Convergence

Example Finding Intervals of Convergence

Procedure for Determining Convergence

Quick Quiz Sections 9.4 and 9.5

Pg. 386, 7.1 #1-25 odd

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