Discontinuity in Functions

Hello everyone! In this video I will show you how do discontinuities work in functions!

There are two types of discontinuities:

1. REMOVABLE DISCONTINUITIES: These discontinuities receive their name because they can be fixed in order to make a function continuous. In removable discontinuities, a function is just interrupted by a hole at a specific place of the function. However, it is worth highlighting the fact that the function DOESN'T jump from a place to another. Furthermore, in these functions, the limit at that hole must exist (i.e. the limits from the left and from the right are the same). To fix these discontinuities we simply redefine the function so the function at that hole is defined to its limit.

2. NON-REMOVABLE DISCONTINUITIES: These discontinuities receive their name because they cannot be fixed in order to make the function continuous again. In non-removable discontinuities the function jumps from one place to another at a certain point of the function. If we are talking about strict mathematics, the limit at that point does not exist (i.e. the limits from the left and from the right are different from one another).

I really hope this video is helpful to you!
Thanks for watching, enjoy!

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