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]}