# All types of discontinuities

[Refer to Mathwarehouse: What are the types of Discontinuities?](http://www.mathwarehouse.com/calculus/continuity/what-are-types-of-discontinuities.php)

## `Jump Discontinuities`

> A `Jump discontinuity` occurs at some point, the `left side limit` is DIFFERNT with the `right side limit`.

![image](https://user-images.githubusercontent.com/14041622/40050621-8b4da930-586a-11e8-909f-424af8b6c04e.png) We see that clearly: ![image](https://user-images.githubusercontent.com/14041622/40050642-9cbaa704-586a-11e8-9c82-adc8f0032a15.png)

## `Removable Discontinuities`

> A `removable discontinuity` occurs at some point, both `left side limit` & `right side limit` are the SAME.

![image](https://user-images.githubusercontent.com/14041622/40050774-0466bc94-586b-11e8-981c-7427d765f794.png)

## `Infinite Discontinuities`

> An `Infinite Discontinuity` occurs at some point, both `left side` & `right side` are approaching to INFINITY, which means both sides DO NOT have limits.

![image](https://user-images.githubusercontent.com/14041622/40050881-5c76418e-586b-11e8-9f03-eb66464a8730.png)

## `Endpoint Discontinuities`

> An `Endpoint Discontinuity` occurs at some point, it DOESN'T HAVE **both** sides, it only has ONE SIDE.

![image](https://user-images.githubusercontent.com/14041622/40051007-d0196e0e-586b-11e8-930a-c2f1c392a019.png)

## `Mixed Discontinuities`

![image](https://user-images.githubusercontent.com/14041622/40051076-06f92d38-586c-11e8-9d2e-415a2c6e95ad.png)