Sec 7.1 – Power Series A Review From Calc II.

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Presentation transcript:

Sec 7.1 – Power Series A Review From Calc II

Introduction

Using Ratios to Compute the Interval (p308)

Two More Examples (Problem p 317)

Taylor And MacLaurin Series

Power Series and Derivatives (p 309)

Equality Of Power Series; Taylor Polynomial

Shifting Indices It will be useful for us to switch indices in some of the series, especially after taking derivatives For example, from our list of derivatives two pages ago, Try to write this as a new series, beginning at n = 0, then check your work. Two more examples on p 313

One more useful practice computation Given that Find a power series representation for that begins at n = 0

For Practice Page 317 #1abe, 2, 3ab, 11