# Limit of Functions Involving nth Power

In this tutorial we shall discuss an example to evaluating limits involving function with nth power of variable, in most of the cases if limit involves nth power variable expression and to solve using 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