# Example of a Continuous Function

Let’s take an example to find the continuity of a function at any given point.

Consider the function of the form

We shall check the continuity of the given function at the point $x = 4$.

To check the continuity of the given function we follow the three steps.

(i) Value of the Function at the Given Point
We have given value of function at $x = 4$ is equal to $0$.

(ii) Limit of the Function at the Given Point

Applying the limits, we have

(iii) From the above information it is clear that

Hence the function $f$ discontinues at the point $x = 4$.