Science:Math Exam Resources/Courses/MATH110/April 2016/Question 05 (c)/Solution 1
Since the denominator is zero exactly when , it is the only candidate for the vertical asymptote.
As approaches to , the numerator approaches to , while the denominator approaches 0. This gives
- .
In other words, has exactly one vertical asymptote, which is .
On the other hand, we have
and
It follows that it has as its horizontal asymptote.
Answer, the asymptotes are: .