Question:
The set of points where f(x) = x – [x] is discontinuous is _____________.
Solution:
The graph of f(x) = x – [x] is shown below.
It can be seen that, the function f(x) = x – [x] is discontinuous at all integral values of x. So, the set of point where where f(x) = x – [x] is discontinuous is Z i.e. the set of integers.
The set of points where f(x) = x – [x] is discontinuous is _____ the set of integers i.e. Z______.