Question

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

Answer 1

Limit = `0`

Explanation:

Given: `f(x) = e^-x`

Find `lim x -> oo " "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]}