# Limit of Functions Involving nth Power

In this tutorial we shall discuss an example of evaluating limits involving a function with nth power of variable. In most cases if limit involves an nth power variable expression we solve using the binomial theorem.

Let us consider an example which

Let us consider $x = a + h$, as $x \to a$, then $h \to 0$, we have

Now

Using the binomial expression, we have

Applying the limits, we have