67 - Taylor Polynomials and Approximations

How can polynomial functions be used as approximations to other ’elementary functions'?

Practice

9.7 # 13,17,26,49

Vocabulary

Taylor Polynomial, Maclauren Polynomial

Study Questions

  1. What is a taylor polynomial?
  2. What do we mean when we say that the ’expansion is centered at c’ ?
  3. How do you find a taylor polynomial for a given function?
  4. What is a taylor polynomial remainder?

Resources

  1. Slide Deck: Lesson-67-Taylor-Polynomials-and-Approximations
  2. APP: Geogebra - Taylor Approximation