APFIVE Types of Discontinuities in Rational Functions
The function $$\displaystyle h(x) = \frac{x^2 - 9}{x^2 - 2x - 3}$$ has a discontinuity at $$\displaystyle x = 3$$. Which of the following best describes the behavior of $$\displaystyle h$$ at this discontinuity?
A
There is a removable discontinuity (hole) at $$\displaystyle x = 3$$
B
The function is continuous at $$\displaystyle x = 3$$
C
There is a vertical asymptote at $$\displaystyle x = 3$$
D
$$\displaystyle \lim_{x \to 3} h(x) = \infty$$