- #1
chief12
- 11
- 0
Homework Statement
suppose f: [a,b] ---> Q is continuous on [a,b]. prove that f is constant on [a,b].
Homework Equations
The Attempt at a Solution
Since there is at least one irrational number between every two rational numbers,
then for f to be continuous in the given scenario, f must be constant
stuck about showing it with delta/epsilon proof