Answer
a) $\infty$
b) $\infty$
c) $\infty$
d) does not exist
Work Step by Step
a) $\lim\limits_{x \to 4^-}$ means limit as x approaches positive 4 from the left. As shown in the graph as x approaches 4 from the left, the value of x approaches infinity.
b) $\lim\limits_{x \to 4^+}$ means limit as x approaches positive 4 from the right. As shown in the graph as x approaches 4 from the right, the value of x approaches infinity.
c) as x approaches 4 from both sides the value of x approaches infinity
d) since there is no point on the graph that displays a value of x, the answer is DNE (does not exist)