A function fff is defined like this:
f(x)={x2−16x−4if x≠420if x=4f(x) = \begin{cases} \dfrac{x^2 - 16}{x - 4} & \text{if } x \neq 4 \\ 20 & \text{if } x = 4 \end{cases}f(x)=⎩⎨⎧x−4x2−1620if x=4if x=4
So everywhere except at x=4x = 4x=4 the function follows the fraction, and at x=4x = 4x=4 exactly one value has been stamped on: f(4)=20f(4) = 20f(4)=20.
What is limx→4f(x)\lim_{x \to 4} f(x)limx→4f(x)?
Select all that apply.
202020
888
444
The limit does not exist, because the dot at x=4x = 4x=4 sits away from the rest of the curve.