The function is $\"\"$ .

Observe the graph:

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

$\"\"$ has an infinite discontinuity because $\"\"$ is undefined.

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

Support numerically :

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 $\"\"$ .

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

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

Limit exist but $\"\"$ has an infinite discontinuity at $\"\"$ .

End behavior of the graph :

Observe the graph:

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

Support numerically :

Construct a table that shows the values to investigate the function values as of $\"\"$ increases.

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

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

Observe the table.

As $\"\"$ tends to $\"\"$ , $\"\"$ approaches $\"\"$ and as $\"\"$ tends to $\"\"$ , $\"\"$ approaches to $\"\"$ .

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

$\"\"$ has an infinite discontinuity because $\"\"$ is undefined.

End behavior of $\"\"$ : $\"\"$ and $\"\"$ .