Step 1:

The function is .

Find the limit .

Since  , .

.

.

Solution:

.

(b)

Step 1:

The limit expression is .

Consider the function is .

When  tends to   from the right side, is a small positive number.

Thus, the quotient is a large positive number and approaches infinity from the right of .

So .

 increases without bound as approaches from the right.

Verify the limit by using the table.

As limit in which  increases  without bound as  approaches from the right is called as an infinite limit.

Therefore, .

Solution:

 .