Lesson: Lagrange Error Bound Mathematics

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In this lesson, we will learn how to use the Lagrange error bound (Taylor’s theorem with remainder) to find the maximum error when using Taylor polynomial approximations.

Lesson Plan

Students will be able to

  • use the Lagrange error bound to find the maximum error when using Taylor polynomial approximations,
  • use the Lagrange error bound to find the number of terms of a Taylor polynomial required to make an approximation to a specified degree of accuracy.

Lesson Video

Video Thumbnail
11:33

Lesson Playlist

  • Finding the Error Bound for the Maclaurin Polynomial of the Exponential Function
    04:37
  • Finding the Error Bound for the Taylor Polynomial of the Square Root Function
    04:03
  • Approximating Error Using Maclaurin Series
    04:27

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