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

##### 1 Answer

Feb 15, 2016

When

#### Explanation:

For a function

three conditions must be met:

#f(a)# must be defined.#lim_(xrarra)f(x)# must exist (it can not be inifinite)#lim_(xrarra)f(x)=f(a)#

Since for **not** meet condition 1 when

Note that it is possible to define a function similar to this which is continuous: