$\"\"$

The expression is $\"\"$ .

Find left hand limit $\"\"$ .

$\"\"$ = greatest integer such that $\"\"$ .

$\"\"$

$\"\"$ .

Find right hand limit $\"\"$ .

$\"\"$

$\"\"$ .

Since the left hand limit and right hand limit are not equal, the limit does not exist.

The limit does not exist.

The function approaches $\"\"$ from left side of $\"\"$ .

The function approaches $\"\"$ from right side of $\"\"$ .