![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
The function is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=2c872e7ad6482fdd7c3a86705c0da6ed.png\")
.
To find any vertical asymptotes, set the denominator equal to zero and solve the resulting equation for x.
\Sothe line x = 0 is a vertical asymptote.Because the denominator is x.![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
To find the equation of a slant asymptote, by using long division.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8918ac04cc7edd81245f24a7e1114de9.png\")
From division algorithm, write the result as follows
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0f5da5c274699e6d94f108a0aa69d81c.png\")
The equation of a slant asymptote is y = x. ![\"\"](\"../../../userfiles/image/steps_images/solution.JPG\")
The vertical asymptote is x = 0 and slant asymptote is y = x.
\