Let f(x) = [ x + x], 0 < x < 2 , where [x] denotes the greatest integer less than or equal to x. The number of points of discontinuity of f(x) is

JEE Advanced Mathematics question

Let , where denotes the greatest integer less than or equal to . The number of points of discontinuity of is

Answer: (B)

, whose range is . can jump only where takes an integer value, i.e. (note are not integers).

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Question ID VK-109313