Let f(x) = [x^2] - [x]^2, where [ ] denotes the greatest integer function. Then

JEE Advanced Mathematics question

Let , where denotes the greatest integer function. Then

Answer: (C)

Note at every integer . Check one-sided limits at integers ():

- : ; . Continuous iff , i.e. only for . - : ; —

Create a free account to read the complete working (3 steps), and practise questions like this in a timed test.

Question ID VK-109312