# Example of Continuous Function

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

Consider the function of the from

We shall the check the 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 Function at given Point:
We have given value of function at $x = 4$ is equal to $0$.

(ii) Limit at a Function at given point:

Applying the limits, we have

(iii) From the above it clear that

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