find limit?

Question

Answer 1

(2)

Step 1:

The function is .

Find the limit .

Since  , .

.

.

Solution:

.

Answer 2

(1)

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.

Step 2:

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:

 .