### Home > APCALC > Chapter 12 > Lesson 12.1.2 > Problem 12-19

12-19.

Given

Write a fourth-degree Taylor polynomial,

, aboutfornear.The original function and first few derivatives are listed below. Do you see a pattern?

Evaluate the original function and each of the derivatives at

.Write

using sigma notation.Simplify the terms in the equation given in Step 2 (a). Then write an expression for the general term. Use this in your summation.