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Find asymptotes for rational functions

  1. Apr 13, 2008 #1
    1. The problem statement, all variables and given/known data

    Find asymptotes for f(x) = (x^2 -1) / (x - 1). (if exist)

    2. Relevant equations

    g(x) is a (horizontal or oblique) asymptote if lim |f(x) - g(x)| = 0
    (here, lim is to be limit as x goes to infinity. don't know how to type it)


    if q(x)/p(x) = g(x) + r(x)/p(x) where dimension of r(x) is smaller than that of p(x)

    3. The attempt at a solution

    f(x) = (x^2 - 1) / (x-1) = x+1 (where x ≠ 1)

    then lim |f(x) - (x+1)| = 0 so asymptote is x+1.

    But the answer is 'no asymptote'. What am I missing?
  2. jcsd
  3. Apr 13, 2008 #2


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    Homework Helper

    If f(x) = (x^2 - 1) / (x-1) = x+1, the doesn't that just mean that f(x)=x+1 ? and that is what kind of graph?
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