Lesson: Lagrange Error Bound Mathematics • Higher Education

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 Video

Sample Question Videos

06:04
07:22
07:50

Lesson Worksheet

Q1:

Find the Lagrange error bound when using the second Taylor polynomial for the function at to approximate the value . Round to five decimal places.

Q2:

Determine the least degree of the Maclaurin polynomials needed for , approximating where .

Q3:

Find the Lagrange error bound when using the third Maclaurin polynomial for the function at to approximate the value .