Consider the function

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

p(x)=\dfrac{x+1}{x^{2}-x-6}

. Determine the equation of each vertical asymptote of

p

, and for every asymptote

x=a

evaluate the one-sided limits

\displaystyle\lim_{x\to a^-}p(x)

and

\displaystyle\lim_{x\to a^+}p(x)

, indicating whether each limit equals

+\infty

-\infty