Chapter 1.5, Problem 6E

For the function h whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.

(a) $\underset{x\to 3^{-}}{\lim }h\left(x\right)$

(b) $\underset{x\to -3^{+}}{\lim }h\left(x\right)$

(c) $\underset{x\to -3^{}}{\lim }h\left(x\right)$

(d) $h\left(-3\right)$

(e) $\underset{x\to 0^{-}}{\lim }h\left(x\right)$

(f) $\underset{x\to 0^{+}}{\lim }h\left(x\right)$

(g) $\underset{x\to 0}{\lim }h\left(x\right)$

(h) $h\left(0\right)$

(i) $\underset{x\to 2}{\lim }h\left(x\right)$

(j) $h\left(2\right)$

(k) $\underset{x\to 5^{+}}{\lim }h\left(x\right)$

(l) $\underset{x\to 5^{-}}{\lim }h\left(x\right)$