# Thread:

1. ## Finding horizontal and oblique asymptotes

Can anyone show me how to find the horizontal and oblique asymptotes for
$f(x)=\frac{x^2-1}{x-1}$. Any help would be appreciated!

EDIT: My issue is that f(x) can be simplified to x+1, which should be the slant asymptote, right? But my book says that no asymptotes exist... This is why I'm having an issue.

2. Originally Posted by paupsers
Can anyone show me how to find the horizontal and oblique asymptotes for
$f(x)=\frac{x^2-1}{x-1}$. Any help would be appreciated!

EDIT: My issue is that f(x) can be simplified to x+1, which should be the slant asymptote, right? But my book says that no asymptotes exist... This is why I'm having an issue.
the graph of the rational function is the graph of y = x + 1 with a removable discontinuity (a "hole") at the point (1,2).

there is no slant asymptote.
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