a$.$ Use the given Taylor polynomial

p $2$p$2$

to approximate the given quantity.

b$.$ Compute the absolute error in the approximation assuming the exact value is given by a calculator.

Approximate

e Superscript negative $0\mathrm{.}17$e$0\mathrm{.}17$

using

f left parenthesis x right parenthesis equals e Superscript negative xf$($x$)=$e$$x

and

p $2$ left parenthesis x right parenthesis equals $1$ minus x plus StartFraction x squared Over $2$ EndFractionp$2($x$)=1$x$+$x$22.$