For the function

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

Problem

For the function

f(x) = \dfrac{x^2 - 4}{x^2 - 5x + 6}

, identify any vertical asymptotes and state

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

for each asymptote

x = a