Functions Question 558
Question: The function $ f(x)=
[x]\cos [ \frac{2x-1}{2} ]\pi ,, $ where $ [.] $ denotes the greatest integer function, is discontinuous at [IIT 1995]
Options:
A) All x
B) No x
C) All integer points
D) x which is not an integer
Show Answer
Answer:
Correct Answer: C
Solution:
$ f(x)=[x]\cos ,[ \frac{2x-1}{2} ],\pi $
Since $ g(x)=[x] $ is always discontinuous at all integral values of points. Hence $ f(x) $ is discontinuous for all integral points.
BETA
