- #1
ssampak
- 5
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Homework Statement
Find asymptotes for f(x) = (x^2 -1) / (x - 1). (if exist)
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)
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?