1)

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

Answer:

Option C

Explanation:

The graph of the function f (x) = x - [x] for the interval (0, 7) is shown below :

234202121_jarkeag6ldd9-s.jpeg

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 ths given interval are 6.