The function is $\"\"$ .

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

$\"\"$

Therefore the horizontal asymptote is $\"\"$ .

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 $\"\"$

$\"\"$

$\"\"$ and $\"\"$

$\"\"$ and $\"\"$ .

Therefore the vertical asymptotes are $\"\"$ and $\"\"$ .

Verification :

Graph :

Graph the function $\"\"$ :

$\"\"$

Observe the graph.

The horizontal asymptote is $\"\"$ and vertical asymptotes are $\"\"$ and $\"\"$ .

The horizontal asymptote is $\"\"$ .

The vertical asymptote are $\"\"$ and $\"\"$ .