Step 1:

The function is

The function is continuous for all values of x.

For a limit to exists, the left hand limit is always equal to right hand limit.

.

Consider  .

Consider .

For a limit to exist, .

     .....................Equation(1).

Step 2:

For a limit to exists, the left hand limit is always equal to right hand limit.

.

Consider  .

Consider  .

For a limit to exist, .

        .....................Equation(2).

Step 3:

Find the values of a and b.

Subtract equation(2) from equation(1).

Substitute in equation(1)

The values are and  .

Solution:

The values are and .