(a)

The function is .

Graph the function:

Observe the graph:

As  tends to  from the right hand side, approaches to .

Complete the table.

As tends to from the right hand side, approaches to .

. 

(b)The function is .

Graph the function:

Observe the Graph:

As tends to from the right hand side, approaches to .

Complete the table.

As tends to from the right hand side, approaches to .

. 

(c)

The function is .

Graph the function:

Observe the Graph:

As tends to from the right hand side, approaches to .

Complete the table.

As tends to from the right hand side, approaches to .. 

(d)

The function is .

Graph the function:

Observe the Graph:

As tends to from the right hand side, approaches to.

Complete the table.

As tends to from the right hand side, approaches to .

.

When the power of in the denominator greater than , the limit approaches

to .

, where . 

(a) .

(b) .

(c) .

(d) .

, where .