Question

Create a function that is not continuous at the number 4. And explain what condition of it violates.

Answer 1

We can consider the function

$f(x) = \dfrac{1}{x-4}$

We can clearly see that it is not continuous at point x=4. Because at x = 4 it gives the infinite value.

Hence, the graph of function breaks which makes it discontinuous at x = 4.