Chapter 1, Problem 15RE

For Exercises 15-17, consider

$\underset{x\to -7}{\lim }f\left(x\right),wheref\left(x\right)=\frac{x^2+4x-21}{x+7}$.

Limit numerically. $\left[1.1\right]$

a. Find the limit by completing the following input-output tables.

$x\to -7^{-}$	$f\left(x\right)$
$-7.1$	$-10.1$
$-7.01$	$-10.01$
$-7.001$	$-10.001$

$x\to -7^{+}$	$f\left(x\right)$
$-6.9$	$-9.9$
$-6.99$	$-9.99$
$-6.999$	$-9.999$

b. Find $\underset{x\to -7^{-}}{\lim }f\left(x\right),\underset{x\to -7^{+}}{\lim }f\left(x\right),\text{and}\underset{x\to -7}{\lim }f\left(x\right),$ if each exists.