Objectives
- 1. Find Taylor polynomials generated by f at a.
- 2. Find Maclaurin series.
- 3. Find Taylor series generated by f at x = a.
- 4. Find the values of x for which Maclaurin series converge absolutely.
- 5. Verify statements involving Taylor and Maclaurin series.
- 6. Find linearization and quadratic approximations for Taylor polynomials.
Readings and Lecture Videos
10.8 Taylor and Maclaurin Series.pdf
10.8 Taylor and Maclaurin Series.pptx
m2414 10.8 Taylor and Maclaurin Series-20221126_191450-Meeting Recording.mp4

Example 2: Finding the Taylor Series (Maclaurin Series) of f(x) = e^x at x =0: Math 2414 10.8 Taylor Series Ex 1-3-20230526_134232-Meeting Recording.mp4

MyLab video of Ex 2: https://mediaplayer.pearsoncmg.com/assets/teu14_10_8_2

Example 3: Find the Taylor Series (Maclaurin Series) of f(x) = cos x at x =0 Mylab video of Ex 3: https://mediaplayer.pearsoncmg.com/assets/teu14_10_8_3

Checkpoint Find the Maclaurin series of f(x) = 1/(x+2)^2 : https://mediaplayer.pearsoncmg.com/assets/teu14_10_8_4