# How do you find jump discontinuity?

##### 1 Answer

Sep 5, 2014

There are 2 ways, you can look at a graph or you can use the definition.

Using the definition, show:

#lim_(x->a^-)f(x)!=lim_(x->a^+)f(x)# and both are finitie

It is important that they are finite. If one is not finite or does not exist, then it would be infinite discontinuity.

Using a graph, it's the same thing; both the red and blue functions have jump discontinuity:

Let's say the red function,

#lim_(x->a^-)f(x)!=lim_(x->a^+)f(x)# and#f(a)# #DNE#

#lim_(x->b^-)g(x)!=lim_(x->b^+)g(x)# and#lim_(x->b^-)g(x)= g(b)#