### Home > CALC > Chapter 2 > Lesson 2.4.1 > Problem2-144

2-144.

Use the graph from problem 2-143 to complete the following table:

$a$

$\lim\limits_ { x \rightarrow a } f ( x )$

$f(a)$

Continuous
at $x = a$?

$1$

$2$

$3$

$4$

At a vertical asymptote, $f(x)$ approaches $−∞$ from the left and $+∞$ from the right.
Reason 1: $∞$ is not finite.
Reason 2: $+∞$ does not agree with $-∞$

Careful! Just because $f(4)$ exists, does not mean that the limit $x→4$ exists.