$\"\"$

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

Definition :

If a function is continuous at every number in the interval $\"\"$ then the function $\"\"$ is continuous on an interval $\"\"$ .

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

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

$\"\"$

Properties of limits : $\"\"$ .

$\"\"$

Hence, $\"\"$ .

$\"\"$

Construct a table for different values of $\"\"$ which lies in the interval $\"\"$ .

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

$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$	$\"\"$

Observe the table.

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

$\"\"$

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