Lesson: Lagrange Error Bound
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.
Sample Question Videos
Worksheet: 10 Questions • 2 Videos
Find the error bound when using the second Taylor polynomial for the function at to approximate the value . Approximate to five decimal places.
Determine the least degree of the Maclaurin polynomials needed for , approximating where .
Find the error bound when using the third Maclaurin polynomial for the function at to approximate the value .