Determine whether this function is continuous. If it is discontinuous, is the discontinuity removable?

We can use the Definition of Continuity:

Is the function defined at all points? Since the denominator never becomes zero, the function is defined at all points.

Does the function have a limit at the same point? We can use the limit of a power and the limit of the quotient and conclude that it does.

Does the value of the function equal its limit at all points? Yes. Consequently, the function is continuous.