Step 1 :

Definition :

The line $\"\"$ is called a horizontal asymptote of the curve $\"\"$ if either

$\"\"$

Step 2 :

The function is $\"\"$ .

Find vertical asymptote :

Vertical asymptotes exists when denominator is zero.

Equate denominator to zero.

$\"\"$

Apply natural logarithm on each side.

$\"\"$

The line $\"\"$ is a vertical asymptote.

Step 3 :

Find horizontal asymptote :

$\"\"$

The line $\"\"$ is a horizontal asymptote.

$\"\"$

The line $\"\"$ is a horizontal asymptote.

Solution :

The vertical asymptote is $\"\"$ .

The horizontal asymptotes are $\"\"$ and $\"\"$ .