Answer:
2nd option: Infinite discontinuity.
Step-by-step explanation:
The equation [tex]f(x) = \frac{-4}{x^{2} }[/tex] is a rational equation with an asymptote at x = 0. (Pictured below)
An asymptote is an example of an infinite discontinuity because:
As x⇒ 0 from x = -∞, y ⇒-∞.
As x⇒ 0 from x = ∞, y⇒-∞.
This means that the limit does not exist.
