Given f(x)=x3−8x2−4f(x) = \frac{x^3 - 8}{x^2 - 4}f(x)=x2−4x3−8, determine the behavior of the function as x→2x \to 2x→2.
The limit exists and equals 333
The limit exists and equals 000
The function has a vertical asymptote at x=2x = 2x=2
The limit is undefined as it approaches infinity