# How do you find the asymptotes for #(e^x)/(1+e^x)#?

##### 1 Answer

There is no vertical asymptote. (assuming we are restricted to the Real number plane)

Horizontal asymptotes at

#### Explanation:

**Vertical Asymptote**

Since

the denominator of

and the expression is defined for all values of

**Horizontal Asymptote**

and

since

and

therefore

and

For verification purposes, here's what the graph looks like:

graph{e^x/(1+e^x) [-6.24, 6.244, -3.12, 3.12]}