The set of points where f(x)

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 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______.

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