Step 1:

(8)

Find .

Observe the graph.

As x tends to 0 from right side, approaches to 2.

Therefore .

Step 2:

(9)

Find .

Observe the graph.

As x tends to 0 from right side, approaches to 0.

Therefore .

Step 3:

(10)

Find .

Observe the graph.

Left hand limit :

As x tends to 0 from right side, approaches to 2.

.

Right hand limit :

As x tends to 0 from right side, approaches to 0. \ \ .

Left hand limit and right hand limit are not equal, limit does not exist.

does not exist.

Solution :

(8) .

(9) .

(10) does not exist.