# What are the the three things a continuous function can't have?

##### 1 Answer

There are more than three, but I'll try: In order for a function to be continuous on

#### Explanation:

I am taking as a definiton:

and

In order for

Those are the first 3 I thought of, but the list in not complete. A continuous function also cannot have the kind of "infinite discontinuity" that

has at

Here is most of the graph of

(I can't get Socratic's graphing utility to put

graph{(y-sin(1/x))=0 [-0.743, 0.756, -1.2, 1.2]}