Find values for constants and so that

We set the limit equal to 0 and solve for the constants, using L’Hopital’s.

In order for this limit to exist we must have

(otherwise the limit would diverge to since the denominator is going to 0). Since this is a continuous function (it is the sum of continuous functions) we have

Next, we plug this value of into the expression above and apply L’Hopital’s rule again and solve for ,

Therefore, we have