The function is $\"\"$ .

Continuity Test condition 1:

Find if $\"\"$ exists.

Substitute $\"\"$ in $\"\"$ .

$\"\"$

The function is undefined for $\"\"$ .

Continuity Test condition 2:

Find if $\"\"$ exists.

Construct a table that shows the values of $\"\"$ for $\"\"$ -values approaching $\"\"$ from the left and from the right.

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

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

Observe the table.

As $\"\"$ tends to $\"\"$ from the left $\"\"$ approaches to $\"\"$ .

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

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

Since $\"\"$ , limit does not exist.

$\"\"$ does not exist.

Continuity Test condition 3: Check $\"\"$ .

Observe above two conditions,

$\"\"$ does not exist and $\"\"$ is undefined.

The function $\"\"$ has infinite discontinuity at $\"\"$ .