If f : R R is a function defined by f(x) = [x] ( 2x - 1 2 ) , where [x] denotes the greatest integer function, then f is

JEE Main 2012 Mathematics question

If is a function defined by , where [x] denotes the greatest integer function, then f is

Answer: (1)

f can only fail to be continuous at integers n, where [x] jumps. But there ${(2n -

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Question ID VK-103792