Chapter 11.1, Problem 67PE

(a)

To determine

The limit $\underset{x\to 3}{\lim }f\left(x\right)$ using the given table and its meaning in terms of the location of the nose and the breeze which can be felt.

The provided figure is:

The table for $x$ and $f\left(x\right)$

is given below:

$x$	$2.9$	$2.99$	$2.999$	$\to$ $\leftarrow$	$3.001$	$3.01$	$3.1$
$f\left(x\right)$	$7.7$	$7.92$	$7.991$	$\to$ $\leftarrow$	$7.991$	$7.92$	$7.7$

(b)

To determine

Whether it would be good or not to move closer to reach at the point $x=3$ and the difference in values of $\underset{x\to 3}{\lim }f\left(3\right)$ and $f\left(3\right)$.