# How do you find the limit of e^-x  as x approaches infinity?

Jul 7, 2018

Limit = $0$

#### Explanation:

Given: $f \left(x\right) = {e}^{-} x$

Find $\lim x \to \infty \text{ } {e}^{-} x$

If you have a calculator, evaluate the function with a very large value of $x$:

${e}^{-} 1000000 = 0$

or graph the function and visually look to see that there is a horizontal asymptote at $y = 0$
graph{e^(-x) [-10, 10, -5, 5]}