Calculus 2     Lesson 11.8     Power Series

The following topics are the most important. Typical exercises from Calculus, 7th edition-Early Transcendentals, by James Stewart, are assigned at the end of each objective.  

In smaller print following the objective is a guide for the reading assignment in the form of page numbers in the text and notes regarding the reading about the objective.

1. Determine the radius of convergence and interval of convergence for a power series. P745#3,7,11,20,21
P741 The definition of power series is given at box 1 on this page.
P741 The definition of power series centered at a is given at box 2 on this page.
P743 The definition of radius of convergence is given below box 3 on this page.
P743 The definition of interval of convergence is given below box 3 on this page.
P743 The theorem governing power series convergence is given in box 3 on this page.  The box at the top of the page gives the results of four examples.  See the note at the top of page 744 regarding usually using the Ratio or Root Test and always checking both endpoints.  Look at Examples 1, 2, 3, 4, and 5.
  P741 Look at the video in the ebook on Webassign. Example 1
  P742 Look at the video in the ebook on Webassign. Example 2
  P745 Look at the video in the ebook on Webassign. Example 5
Maple Assignment: See Maple Assignment