Question:medium
The set of points of discontinuity of the function \( f(x) = x - [x], x \in \mathbb{R} \) is:
The set of points of discontinuity of the function \( f(x) = x - [x], x \in \mathbb{R} \) is:
Show Hint
To find discontinuities of a function involving the floor function, check points where \( [x] \) changes, typically at integers. Compare left and right limits to confirm jumps.
Updated On: Nov 28, 2025
- \( \mathbb{Q} \)
- \( \mathbb{R} \)
- \( \mathbb{N} \)
- \( \mathbb{Z} \)