# Thread: [SOLVED] Horizontal Asymptote for Equation with e

1. ## [SOLVED] Horizontal Asymptote for Equation with e

The question asks to find 2 horizontal asymptotes. So I guess you find what y is when x approaches infinity? I don't know how to simplify such a limit though. Is there specific steps to doing so? or do you just think about it.

Thanks!

2. Originally Posted by electricsparks

The question asks to find 2 horizontal asymptotes. So I guess you find what y is when x approaches infinity? I don't know how to simplify such a limit though. Is there specific steps to doing so? or do you just think about it.

Thanks!
There's 2 things you can do here.

One of them is to see what happens to $\displaystyle e^x$ when $\displaystyle x \to -\infty$. That will give you the left hand asymptote straight out.

A useful technique here is to divide top and bottom by $\displaystyle e^x$. Then you get something on both top and bottom which are then manageable when $\displaystyle x \to +\infty$.