Chapter 9, Problem 64RE

Graphing Taylor polynomials Consider the function $f(x)={(1+x)}^{-4}$.

1. a. Find the Taylor polynomials p₀, p₁, p₂, and p₃ centered at 0.
2. b. Use a graphing utility to plot the Taylor polynomials and f, for −1 < x < 1.
3. c. For each Taylor polynomial, give the interval on which its graph appears indistinguishable from the graph of f.