What does discontinuity mean?

1 Answer
Mar 23, 2018

In terms of real life, discontinuity is equivalent to move up the pencil wen you plot a graph function. See below


With this idea in mind, there is several types of discontinuity.

Avoidable discontinuity
Infinite jump discontinuity and
finite jump discontinuity

You can see this types in several internet pages. for example, this a finite jump discontinuity.
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Mathematicaly, contnuity is equivalent to say that:

#lim_(xtox_0)f(x)# exists and is equal to #f(x_0)#