$\"\"$

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

Consider $\"\"$ .

Apply sum rule of limits. $\"\"$

$\"\"$ .

$\"\"$ exists if and only if $\"\"$ and $\"\"$ exist.

Here $\"\"$ does not exist and $\"\"$ is exists.

Hence, $\"\"$ does not exist.

$\"\"$

$\"\"$ does not exist.