Chapter 0.5, Problem 6E

a.

To determine

Taylor’s polynomial of degree 4 about the point $x=1$ for $f(x)=x^{-2}$ .

b.

To determine

  $f\left(0.9\right)$and $f\left(1.1\right)$

c.

To determine

Error formula for the Taylor polynomial and to find the closer to the correct value of the two approximation $f\left(0.9\right)$and $f\left(1.1\right)$ .

d.

To determine

To compare: The actual error in each case with the error bound and the error found using calculator.