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 .