help.

Question

Answer 1

(6_a)

Find .

The function is .

As tends to , become arbitrarily large.

Hence, approaches to positive large number.

As tends to , approaches to positive large number.

.

Solution :

(6_a) .

Answer 2

(6-b)

Step 2:

Find .

The function is .

As tends to , become arbitrarily large.

Hence, approaches to positive large number.

As tends to , approaches to positive large number.

.

Solution :

(6_b) .

Answer 3

(7_a)

Find .

The function is .

As tends to , the first term is zero.

As tends to , second and third terms are large positive in the function.

The overall function approaches to large negative number.

As tends to , approaches to large negative number.

.

Solution :

.

Answer 4

(7_b)

Find .

The function is .

As tends to , the first term is large positive number in the function.

As tends to , second and third terms are approximately equal to 0 in the function.

The overall function approaches to large positive number.

As tends to , approaches to large positive number.

.

Solution :

.

Answer 5

(8)

Evaluate .

As  tends to ,  become arbitrarily large.

approaches to large positive number.

As  tends to ,  approaches to large positive number.

Solution: