### Exam 3 - Chapter 8

- Determine the convergence or divergence of series. Five parts. Look at problems 27 - 38 in the chapter review.
- Find the interval of convergence of a power series. Two parts. Look at problems 41 - 46 in the chapter review.
- Find the power series for the function centered at the given point. Two parts. Look at problems 47 - 54 in the chapter review.
- Find the function represented by the power series. One part. Look at problems 57 - 58 in the chapter review.
- Find the series representation of the function defined by the given integral. One part. Look at problems 59 - 62 in the chapter review.
- Use a Taylor Polynomial to approximate a function with an error of less than 0.001. Look at problems 65 - 68 in the chapter review.
- Show that a function defined as a series is a solution to a differential equation. One part. Look at problem 71 in the chapter review.

All problems on the exam are directly out of the chapter 8 review.