Given constants define:

If are fixed find all values of such that is continuous at .

By the definition of continuity, we know that continuous at means that is defined and . Since and are defined for all , we know that is defined for every . Then, to show that it is continuous we must show

From the definition of we know

Then, taking the limit as approaches from the right (since since is continuous and as approaches from the left),

So, we must have

If then,