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Find asymptotes for rational functions

  • Thread starter ssampak
  • Start date
5
0
1. Homework Statement

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

2. Homework 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)

or

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?
 

Answers and Replies

rock.freak667
Homework Helper
6,230
31
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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