# Example of a Continuous Function

Letâ€™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 .

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 is equal to .

**(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 discontinues at the point .