Question

Use your calculator to select the best answer below:lim(x to infinity) (10^x)/[(-
e.^x]
a. 1b. -1c. 0d. DNE

Answer 1

$\displaystyle \lim_{x\to\infty}\dfrac{10^x}{-e^x}=-\lim_{x\to\infty}\dfrac{10^x}{e^x}=-\lim_{x\to\infty}\left(\dfrac{10}{e}\right)^x=-\infty$