Question $3$

$2$ pts

If $\underset{x5}{lim}\frac{e^{8-x}-e^3}{x-5}=-20\mathrm{.}09,$ which one of the following is true?

For the function $f(x)=e^{8-x},$ we have $f^{\text{'}}(5)=-20\mathrm{.}09.$

For the function $f(x)=e^x,$ we have $f^{\text{'}}(5)=-20\mathrm{.}09.$

For the function $f(x)=e^{8-x},$ we have $f^{\text{'}}(-20\mathrm{.}09)=5.$

For the function $f(x)=e^x,$ we have $f^{\text{'}}(-20\mathrm{.}09)=5.$

all other options are incorrect