$\"\"$

\

The function is $\"\"$ , $\"\"$ .

\

Definition of continuity :

\

A function $\"\"$ is continuous at $\"\"$ , if $\"\"$ then it should satisfy three conditions :

\

(1) $\"\"$ is defined.

\

(2) $\"\"$ exists.

\

(3) $\"\"$ .

\

$\"\"$

\

Condition (1): $\"\"$ is defined.

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ in the above expression.

\

$\"\"$

\

$\"\"$ .

\

$\"\"$ is defined.

\

$\"\"$

\

Condition (2): $\"\"$ exists.

\

$\"\"$

\

$\"\"$ .

\

$\"\"$ exists.

\

$\"\"$

\

Condition (3): $\"\"$ .

\

$\"\"$ and $\"\"$ .

\

$\"\"$ .

\

The three conditions of continuity are satisfied, hence the function is continuous.

\

The function $\"\"$ is continuous at $\"\"$ .

\

$\"\"$

\

The function $\"\"$ is continuous at $\"\"$ .