- Thread starter
- #1

- Thread starter Lancelot
- Start date

- Thread starter
- #1

- Jan 30, 2018

- 580

For example the function f(x)= x for \(\displaystyle 0\le x\le 1\), f(x)= x+1 for \(\displaystyle 1\le x\le 2\), and, in general, f(x)= x+ n for \(\displaystyle n\le x\le n+1\) for n an integer is monotone increasing for all x but is discontinuous at every integer.