The function is .

To find the horizontal asymptote, evaluate the limit of the function as .

Here there is no horizontal asymptote.

The function is .

Rewrite the function.

Find the vertical asymptote.

Vertical asymptote appears when the function is not defined.

To find the vertical asymptote, equate denominator of the function to zero.

So 

.

Therefore the vertical asymptote is .

Verification :

Graph :

Graph the function :

Observe the graph.

There is no horizontal asymptote and vertical asymptote is at .

There is no horizontal asymptote.

The vertical asymptote is at .