# How do you find vertical, horizontal and oblique asymptotes for #f(x)=x(e^(1/x))#?

##### 1 Answer

Nov 5, 2016

The oblique asymptote is

The vertical asymptote is

#### Explanation:

We know the Taylor's series for

therefore

And

graph{(y-xe^(1/x))(y-x-1)=0 [-6.815, 7.235, -2.36, 4.66]}