# How do you prove that the function #x*(x-2)/(x-2)# is not continuous at x=2?

##### 1 Answer

Apr 7, 2015

If a function is not defined at some point, the function is not continuous at that point.

Division of

The function

and therefore the function is not continuous at

Note that, in this case, we have what is called a "removal discontinuity" but it is still a discontinuity.