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Thread: Finding horizontal and oblique asymptotes

  1. November 15th 2009, 01:36 PM #1
    paupsers
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    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.
    Last edited by paupsers; November 15th 2009 at 01:52 PM.
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  2. November 15th 2009, 01:55 PM #2
    skeeter
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    Quote Originally Posted by paupsers View Post
    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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