Mathematics

Problem

A Taylor polynomial of degree 2 centered at

x=0

is used to approximate

e^{x}

near the origin. Which of the following is the best upper bound for the magnitude of the error when

x=0.2

? a)

3.26\times 10^{-3}

1.63\times 10^{-3}

1.33\times 10^{-3}

8.14\times 10^{-3}