Chapter 3.1, Problem 4E

In Exercises 1–4, use the given table of values to estimate, for the given value of a, each of the following if they exist:

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

(b) $\underset{x\to a^{+}}{\lim }f\left(x\right)$

(c) $\underset{x\to a}{\lim }f\left(x\right)$

(d) $f\left(a\right)$ if it is defined

[HINT: See Example 1-3]

$a=0;$ tableof values:

$x$	–0.1	–0.01	–1.001	–0.0001	0	0.0001	0.001	0.01	0.1
$f\left(x\right)$	–1.0303	–1.00303	–1.0003	–1.00003	0	1.00003	1.0003	1.00303	1.0303