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

.

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