$\"\"$

The limit of the function is $\"\"$ .

Definition of absolute function : $\"\"$ .

The piecewise function is $\"\"$ .

Right hand limit :

If $\"\"$ then the function is $\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

Left hand limit :

If $\"\"$ then the function is $\"\"$ .

$\"\"$

$\"\"$ .

Left hand limit and right hand limit are not equal, so $\"\"$ does not exist.

$\"\"$ does not exist.

$\"\"$

$\"\"$ does not exist.