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 .
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 .