Maclaurin polynomial

Definitions

A truncated Maclaurin series; the sum of the first n terms of a Maclaurin series.

Equivalents

Examples

“Use⟳ the formula for the nth Maclaurin polynomial for a function f(x) given below to find⟳ the 5th Maclaurin polynomial for f(x) = ln(l + x). Show⟳ all of your work⟳.”

“Use⟳ the Maclaurin polynomial for the function defined by f(x) = ln(l + x) to compute the value of In 1.2 accurate to four decimal places.”

“In the Maclaurin polynomials for sin x, only the odd powers of x appear⟳ explicitly.”

“Or, it could be reinforcement of material on Taylor and Maclaurin polynomials that the students have⟳ had.”

CEFR level