(a)

The function is $\"\"$ .

Find $\"\"$ .

Graph :

Graph the function $\"\"$ :

$\"\"$

Observe the graph.

As $\"\"$ tends to $\"\"$ then $\"\"$ approaches to $\"\"$ .

$\"\"$ .

(b)

The function is $\"\"$ .

Construct a table for different values of $\"\"$ to estimate the value of $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Observe the table.

As $\"\"$ closes to positive large number then $\"\"$ approaches to $\"\"$ .

$\"\"$ .

(c)

The limit is $\"\"$ .

Rationalize the function.

$\"\"$

Quotient law of limit : $\"\"$ , if $\"\"$ .

$\"\"$

Sum law of limit : $\"\"$ .

$\"\"$

Root law of limit : $\"\"$ .

$\"\"$

Theorem : If $\"\"$ is a rational number then $\"\"$ .

$\"\"$

$\"\"$ .

(a)

Graph of the function $\"\"$ is

$\"\"$

(b)

$\"\"$ .

(c)

$\"\"$ .