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

Continuity Test condition 1:

Find if $\"\"$ exists.

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

$\"\"$

$\"\"$ .

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

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 values, as $\"\"$ tends to $\"\"$ from the left $\"\"$ approaches $\"\"$ and as $\"\"$ tends to $\"\"$ from the right, $\"\"$ approaches to $\"\"$ .

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

Since $\"\"$ , $\"\"$ is discontinuous at $\"\"$ .

Continuity Test condition 3:

Check $\"\"$ .

Observe above two conditions,

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

Because $\"\"$ and $\"\"$ , $\"\"$ has an infinite discontinuity at $\"\"$ .

$\"\"$ has an infinite discontinuity at $\"\"$ .