(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.
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