**Taylor Polynomials**

Press **MENU 9** to access the CAS screen.

To obtain the *n*th 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.

Press
**F2** to access the CALC menu. Either press **6** to select 6:taylor, or
highlight **6:taylor** and press **EXE**. For
example, let's find the fourth degree Taylor polynomial approximation for *f*(*x*)
= *e ^{x}* about

**SHIFT
e ^{x} ( X ) , X , 4 ) EXE**

The screen displays the fourth degree Taylor polynomial for *e ^{x}*.

To find the fourth degree Taylor polynomial approximation for *f*(*x*)
= *e ^{x}* about

**SHIFT
e ^{x} ( X ) , X , 4 , 2 ) EXE**

The screen displays the fourth degree Taylor polynomial for *e ^{x}*
expanded about