Step 1 :

1)The limit value is  

If

Step 2:

2)The limit is .

           Since

Recall property of limit:.

Step 3:

3)The limit is

Recall property of limit:

Step 4:

4)The limit is

Find the left hand limit :

           Since

Find the right hand limit:

               Since

Since the left hand limit is not equal to the right hand limit, limit does not exist.

Limit does not exist at .

Solution:

1).

2).

3)

4)Limit does not exist at .

Step 1:

5)The limit is

Consider

Multiply the numerator and denominator by .

                            (Since )

substitute in .

Step 2:

6)The limit is

                      (Since )

Solution:

5).

6).