Question

The set of points of discontinuity of f(x) = [x] is ___________.

Answer 1

The graph of f(x) = [x] is shown below.



It can be seen that, the function f(x) = [x] is discontinuous at all integral values of x i.e. x ∈ Z.

Thus, the set of points of discontinuity of f(x) = [x] is the set of integers i.e. Z.


The set of points of discontinuity of f(x) = [x] is __the set of integers i.e. Z___.