Chapter 11.2, Problem 73PE

(a)

To determine

To calculate: The indicated limit using the properties of limits of expression, $\underset{x\to 2}{\lim }\text{ 8}$ and verify

the solution by using zoom in feature of the graphic utility. Zoom in on the graph of the given

function, $f$, near $x=a$ to verify the limit.

(b)

To determine

To calculate: The indicated limit using the properties of limits of expression, $\underset{x\to 3}{\lim }\left(-6\right)$ and

verify the solution by using zoom in feature of the graphic utility. Zoom in on the graph of the

given function, $f$, near $x=a$ to verify the limit.

(c)

To determine

To calculate: The indicated limit using the properties of limits of expression, $\underset{x\to 2}{\lim }x$ and verify the solution by using zoom in feature of the graphic utility. Zoom in on the graph of the

given function, $f$, near $x=a$ to verify the limit.

(d)

To determine

To calculate: The $\underset{x\to 4}{\lim }\frac{\sqrt{x}+5}{x-5}$ using properties of limits and verify the solution by using zoom in feature of the graphic utility. Zoom in on the graph of the given function, $f$, near $x=a$ to

verify the limit.

(e)

To determine

To calculate: The $\underset{x\to 9}{\lim }\frac{\sqrt{x}+10}{x-10}$ using properties of limits and verify the solution by using zoom in feature of the graphic utility. Zoom in on the graph of the given function, $f$, near $x=a$ to verify the limit.