Answer
(a) $4$
(b) $4$
(c) $4$
Work Step by Step
(a) Graph the functions as shown. As $x\to 2^-, f(x)\to 4$, thus $$\lim_{x\to 2^-} f(x)=4$$
(b) As $x\to 2^+, f(x) \to 4$, we have: $$\lim_{x\to 2^+} f(x)=4$$
(c) Combine the above results, we have: $$\lim_{x\to 2} f(x)=4$$
