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

12-19.

Given

: Homework Help ✎ Find the Maclaurin polynomial,

*p*(_{n}*x*), which approximates*f*(*x*) near*x*= 0.Write

*p*(_{n}*x*) using sigma notation.

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 *x* = 0.

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