### Home > CALC > Chapter 12 > Lesson 12.2.1 > Problem 12-66

12-66.

Find the fourth-degree Maclaurin polynomial for *f*(*x*) = *e*^{−2}^{x}^{ }. Use it to approximate *f *′″(0.5). Homework Help ✎

The Maclaurin series for *e ^{x}* is:

Substitute –2*x* for *x* to get the polynomial for *e*^{–2}* ^{x}*.

To bound the error, determine the *x*^{5} term in the polynomial and evaluate it for *x* = 0.5.