(3_b) \ \

Step 1:

The function is .

Find .

Take out as a common factor from the numerator and denominator.

As   then .

Solution :

\ \

(3_c) \ \

Step 1:

The function is .

Find horizontal asymptotes of .

Definition of a Horizontal Asymptote : \ \ The line is a horizontal asymptote of the graph of when or .

Take out as a common factor from the numerator and denominator.

As   then .

Therefore is a horizontal asymptotes of .

Solution :

horizontal asymptote is ..

(4_a) \ \

Step 1:

The function is .

Find .

Take out  as a common factor from the numerator and denominator.

As   then .

Solution :

(4_b) \ \

Step 1:

The function is .

Find .

Take out  as a common factor from the numerator and denominator.

As   then .

Solution :

(5_a) \ \

Step 1:

The function is .

Find .

Take out as a common factor from the numerator and denominator.

As   then .

Here , therefore

Solution :

(5_b) \ \

Step 1:

The function is .

Find .

Take out as a common factor from the numerator and denominator.

As   then .

Here , therefore

Solution :