Step 1:

The piecewise function is $\"\"$ .

If $\"\"$ , then $\"\"$ .

7) The limit is $\"\"$ .

Here $\"\"$ , So $\"\"$ .

$\"\"$ .

Step 2:

8) The limit is $\"\"$ .

Find the left hand limit and right hand limit at $\"\"$ .

Left hand limit:

$\"\"$ .

Right hand limit:

$\"\"$ .

Since the left and right hand limits are not equal at $\"\"$ .

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

Solution:

7) $\"\"$ .

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