MATH HOMEWORK HELP

Problem: Given

(a) Find the equation of the vertical asymptotes, if any.

Solution: To find vertical asymptotes we look for divisions by 0. The denominator can be written as

The candidates to be asymptotes areand. If we evaluate these values at the enumerator we get

This means that the vertical asymptotes areand.

(b) Find the equation of the horizontal asymptote, if any

Solution: We find that

Therefore,is the unique horizontal asymptote.