help? l c

Question

 

Answer 1

(8)

Find .

Observe the graph.

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

Therefore .

Solution :

.

Answer 2

(9)

Find .

Observe the graph.

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

Therefore .

Solution :

.

Answer 3

(10)

Find .

Observe the graph.

Left hand limit :

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

Right hand limit :

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

.

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

does not exist.

Solution :

does not exist.