1. 9.2
Taylor Series

2. Quick Review

3. Quick Review Solutions

4. What you’ll learn about
Constructing a Series
Series for sin x and cos x
Beauty Bare
Maclaurin and Taylor Series
Combining Taylor Series
Table of Maclaurin Series
… and why
The partial sums of a Taylor series are polynomials that can be
used to approximate the function represented by the series.

5. Example Constructing a Power Series for sin x

6. Taylor Series Generated by f at x=0 (Maclaurin Series)

7. Example Approximating a Function near 0

8. Taylor Series Generated by f at x=a

9. Example A Taylor Series at x = 1

10. Example A Taylor Polynomial for a Polynomial

11. Example A Taylor Polynomial for a Polynomial

12. Maclaurin Series

13. Maclaurin Series