# How do you find the Vertical, Horizontal, and Oblique Asymptote given #(e^x)/(1+e^x)#?

##### 1 Answer

The function has horizontal asymptotes at

#### Explanation:

This can also be written as:

Now consider

Consider the graph of f(x) below. By inspection we can see that limiting values arrived at above form horizontal asymptotes.

Evaluating

Notice that the curvature of

graph{e^x/(1+e^x) [-3.08, 3.08, -1.538, 1.54]}

Hence:

The function has horizontal asymptotes at