$\"\"$

The function is $\"\"$ .

(a)

Graph :

Graph the function $\"\"$ :

$\"\"$

Observe the graph.

As $\"\"$ tends to $\"\"$ from left side, the value of $\"\"$ approaches to $\"\"$ .

$\"\"$ .

As $\"\"$ tends to $\"\"$ from right side, the value of $\"\"$ approaches to $\"\"$ .

$\"\"$ .

Left hand limit and right hand limit are equal, so $\"\"$ is exist.

$\"\"$ .

$\"\"$

(b)

The function is $\"\"$ .

Construct the table with nearest value of $\"\"$ , to estimate the value of $\"\"$ :

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

Observe the table :

The value of $\"\"$ at $\"\"$ is $\"\"$ and the value of $\"\"$ at $\"\"$ is $\"\"$ .

So the value of $\"\"$ at $\"\"$ is $\"\"$ .

$\"\"$ .

$\"\"$

(c)

The limit of the function is $\"\"$ .

Find the value of the limit using limit laws.

Rationalize the numerator.

$\"\"$

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

$\"\"$

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

$\"\"$

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

$\"\"$

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

$\"\"$

$\"\"$ .

$\"\"$

$\"\"$ .