A) Only positive integers
B) All positive and negative integers and (0, 1)
C) All rational numbers
D) None of these
Correct Answer: B
Solution :
(i) When \[0\le x<1\] \[f(x)\] doesn't exist as [x] = 0 here. (ii) Also \[\underset{x\to 1+}{\mathop{\lim }}\,f(x)\] and \[\underset{x\to 1-}{\mathop{\lim }}\,f(x)\] does not exist. Hence \[f(x)\] is discontinuous at all integers and also in (0, 1).
You need to login to perform this action.
You will be redirected in
3 sec
