From the question;
we are to state the three reasons why a function might be discontinuous at the point x=c
A funtion f(x) is discontinuous at a point x = c if
1.
![f(c)\text{ is not defined}]()
2.
![\lim _(x\to c)\text{ f(c) does not exi}st](https://img.qammunity.org/2023/formulas/mathematics/high-school/htv7cl1fbidv8jbqu2oeqbzy5di9sesi56.png)
3.
![\lim _(x\to c)\text{ f(x) }\\e f(c)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ymnw6qvrb07n7y9saft8jbj4lqez749evi.png)
If all this condition are statisfied, then the function is discontinuous at x = c