# How can you tell if a function has a discontinuity?

##### 1 Answer

Jun 19, 2015

Let be

Pragmatically we can say that if a function has a fractional part, a logarithm, an even root, a tan(x), a cot(x), an arcsin(x), an arccos(x) there **might** be one or more points of discontinuity. The only way is to verify if there are points where the function isn't defined.

I make some examples:

So e(x) and f(x) are continuous.