Step 1:

The function is .

Construct a table of values as tends to to the function .

Observe the table:

As tends to from left hand side the function approaches to .

As tends to from right hand side the function approaches to .

Left side limit and right hand side limits are not equal.

Therefore limit does not exist at .

does not exist.

Step 2:

Verify the results using the graphing utility.

Graph the function .

Observe the graph :

As tends to from left hand side the function approaches to .

As tends to from right hand side the function approaches to .

Solution :

(1)

(2)

(3) does not exist.