Lecture 6: Convergence Tests and Taylor Series. Part I: Convergence Tests.

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Presentation transcript:

Lecture 6: Convergence Tests and Taylor Series

Part I: Convergence Tests

Objectives Know how to decide if a series converges or not Corresponding sections in Simmons: 13.5, 13.6,13.7,13.8

Important examples

Nth term test

Comparison and Ratio Tests

Examples

Integral Test

Another example

Integral Test Summary

Series With Negative Terms

Conditional vs. Absolute Convergence

Alternating Series Test

Part III: Taylor Series

Objectives Know how to find Taylor Series Corresponding Sections in Simmons: 14.4

Taylor Series

Taylor Series continued

Taylor Series Examples

Taylor Series Validity