![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
The rational function is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=68fb4ad1bc9ea36294c5f8cb31a3570e.png\")
.
Find the vertical asymptote:
\Find the vertical asymptote by equating the denominator to zero.
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=64f46d7b249739920728a8c9f8dc1841.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=cab15cc8db8dfe67d546eb3109115d0c.png\")
.
The vertical asymptote is .
\
Find the horizontal asymptote :
\The rational function is .
Since the degree of the numerator is equal to the degree of the denominator, horizontal asymptote is the ratio of leading coefficient of numerator and denominator.
\Degree of the numerator ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=a83e6cd324af1446966a4fa704ade5da.png\")
and degree of the denominator .
Leading coefficient of numerator ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3ddb67f660f444c11204b6b6b1b76c00.png\")
, leading coefficient of denominator .
Therefore ,horizontal asymptote is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=44a302c16e4c38ee9ddefe7a3fb37d42.png\")
.
![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The vertical asymptote is .
The horizontal asymptote is .