# 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 .

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 is equal to .

**(ii) Limit at a Function at given point:**

Applying the limits, we have

**(iii)** From the above it clear that

Hence the function is discontinues at the point .