The function is .

Observe the graph:

(a) Find .

As  tends to  from left hand side, approaches to .

As tends to from right hand side, approaches to .

Since the limit from left hand side and right hand side are equal, limit exist.

.

(b) Find .

As tends to from left hand side, approaches to .

As tends to from right hand side, approaches to .

Since the limit from left hand side and right hand side are equal, limit exist.

.

.

agree at all points other than .

If , then is undefined.

Rewrite the function as .

Cancel the common terms.

The simpler form of function is .

and  agree at all points other than .

(a) .

(b).

and agree at all points other than .