Question

How do you find the limit of `(e^(-x)) / (1+ln(x))` as x approaches infinity?

Answer 1

0

Explanation:

`lim_{x to oo} (e^(-x)) / (1+ln(x))`

there's not much to do here. breaking them up as they are continuous functions in their domains....

`lim_{x to oo} (e^(-x)) = 0`

`lim_{x to oo} 1+ln(x) = oo`