(a)

 where .

Observe the graph:

As  tends to  from right hand side,  approaches to .

.

(b)

 where .

Observe the graph:

As  tends to  from left hand side,  approaches to .

.

(c)

 where .

Since the left hand limit and right hand limit are equal, the limit exists.

.

Observe the graph:

The function is continuous over the interval  except at .

Discontinuity is at .

(a) .

(b) .

(c) .

Discontinuity is at .