Home > CALC > Chapter 12 > Lesson 12.1.2 > Problem 12-19
12-19.
Given
Find the Maclaurin polynomial, pn (x), which approximates f(x) near x = 0.
Write pn (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.