Chapter 13, Problem 2T

For the piecewise-defined function f whose graph is shown, find:

1. (a) $\underset{x\to -1^{-}}{\lim }f(x)$
2. (b) $\underset{x\to -1^{+}}{\lim }f(x)$
3. (c) $\underset{x\to -1}{\lim }f(x)$
4. (d) $\underset{x\to -0^{-}}{\lim }f(x)$
5. (e) $\underset{x\to -0^{+}}{\lim }f(x)$
6. (f) $\underset{x\to 0}{\lim }f(x)$
7. (g) $\underset{x\to 2^{-}}{\lim }f(x)$
8. (h) $\underset{x\to 2^{+}}{\lim }f(x)$
9. (i) $\underset{x\to 2}{\lim }f(x)$

$f(x)=\{\begin{array}{ll}1\hfill & \text{if}x<-1\hfill \\ 0\hfill & \text{if}x=-1\hfill \\ x^2\hfill & \text{if}-1<x\le 2\hfill \\ 4-x\hfill & \text{if}2<x\hfill \end{array}$