Question
Mathematics Question on Limits
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
6
Explanation
Solution
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.