Step 1:

The function $\"\"$ and interval $\"\"$ .

A function $\"\"$ is continuous at a number $\"\"$ , if $\"\"$ .

If $\"\"$ then by using limits law,

$\"\"$

Properties of limits: $\"\"$ .

$\"\"$

Hence, $\"\"$ .

Step 2:

Consider different values of $\"\"$ which lies in the interval $\"\"$ .

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

$\"\"$	3	5	7	10
$\"\"$	9	4.33	3.40	2.875

Observe the table.

The function $\"\"$ is continuous at $\"\"$ for every $\"\"$ in the interval $\"\"$ .

Solution :

The function $\"\"$ is continuous on the interval $\"\"$ .