(a)

Find . 

Observe the graph.

As  tends to  from left side,  approaches to .

So . 

(b)

Find .

Observe the graph.

As tends to from right side, approaches to .

So .

(c)

Find .

Observe the graph.

Left hand limit .

As approaches to from left side, approaches to .

.

Right hand limit .

As approaches to from right side, approaches to .

.

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

(d)

Find .

Observe the graph.

As tends to from left side, approaches to .

So .

(e)

Find .

Observe the graph.

As tends to  from right side, approaches to .

So .

(f)

Find .

Observe the graph.

Left hand limit :

As approaches to  from left side,  approaches to .

So .

Right hand limit :

As approaches to from right side, approaches to .

So .

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

does not exist. 

(g)

Find .

Observe the graph that exists.

The solid dot indicates that value of the function exist at .

The value of the function at is .

So .

(h)

Find .

Observe the graph.

Left hand limit :

As approaches to from left side, approaches to .

.

Right hand limit :

As approaches to from right side, approaches to .

.

Left hand limit and right hand limit are equal, is exist.

.

(a) .

(b) .

(c) does not exist.

(d) .

(e) .

(f) does not exist.

(g) .