The no. of points of discontinuity of the function f (x) = x - [x] in the interval (0, 7) are

Question

The no. of points of discontinuity of the function f (x) = x - [x] in the interval (0, 7) are (A) 2 (B) 4 (C) 6 (D) 8

Tardigrade Admin · Accepted Answer

The graph of the function f (x) = x - [x] for the interval (0, 7) is shown below :
It is obvious from the above graph that the function x - [x] is discontinuous at the points x = 1, 2, 3, 4, 5, 6. Therefore no. of points of discontinuity of the given function in the given interval are 6.

Q. The no. of points of discontinuity of the function f (x) = x - [x] in the interval (0, 7) are

2

4

6

8

The graph of the function f (x) = x - [x] for the interval (0, 7) is shown below : It is obvious from the above graph that the function x - [x] is discontinuous at the points x = 1, 2, 3, 4, 5, 6. Therefore no. of points of discontinuity of the given function in the given interval are 6.

The graph of the function f (x) = x - [x] for the interval (0, 7) is shown below :
It is obvious from the above graph that the function x - [x] is discontinuous at the points x = 1, 2, 3, 4, 5, 6. Therefore no. of points of discontinuity of the given function in the given interval are 6.