Answer
(a) 2
(b) 1
(c) 4
(d) does not exist because $\lim\limits_{x \to 3^-}$$\ne$$\lim\limits_{x \to 3^+}$
(e) 3
Work Step by Step
(a) As x approaches 1 from both the left and right hand side f(x) goes to 2.
(b) As x approaches 3 from the left hand side, f(x) goes to 1.
(c) As x approaches 3 from the right hand side, f(x) goes to 4.
(d) $\lim\limits_{x \to 3}$ does not exist because $\lim\limits_{x \to 3^-}$$\ne$$\lim\limits_{x \to 3^+}$. They must go to the same number for $\lim\limits_{x \to 3}$ to exist.
(e) There is a point at (3,3) on the graph so f(3)=3.
