Taylor Polynomials

To obtain the nth degree Taylor polynomial for a given function expanded about x = a, use the syntax

taylor(function, variable, degree, a)

If a is missing, the expansion is taken about a = 0; i.e., a Maclaurin series is displayed.

Start from the home screen. Press F3 to access the Calc menu. Highlight 9:taylor( and press . For example, let's find the fourth degree Taylor polynomial approximation for about x = 0. After the prompt taylor ( in the entry line, type

The screen displays the fourth degree Taylor polynomial for .

To find the fourth degree Taylor polynomial approximation for about x = 2, press to access the Calc menu. Highlight 9:taylor( and press . After the prompt taylor ( in the entry line, type

The screen displays the fourth degree Taylor polynomial for expanded about a = 2.