CUET · MATHS · PYQ PAPER 2023
Points of discontinuity of the greatest integer function \(f(x)=\lfloor x\rfloor\), where \(\lfloor x\rfloor\) denotes integer less than or equal to \(x\), are
- A all natural numbers
- B all rational numbers
- C all integers
- D all real numbers
Answer & Solution
Correct Answer
(C) all integers
Step-by-step Solution
Detailed explanation
The greatest integer function f(x)=[x] is constant in each interval (n,n+1) but jumps at integers.At every integer value, the left-hand and right-hand limits are different, so discontinuity occurs. (C) all integers
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