Let f(x) = cases 1 + x^2 , & x < 3 3 x - 1, & 3 x < 4 [x], & 4 x < 5 |1 - x|, & x 5 cases , where [x] is the greatest integer x. The number of points of discontinuity of f(x) in R is

MHT CET Mathematics question

Let , where is the greatest integer . The number of points of discontinuity of in is

Answer: (D)

At : left limit and , so is continuous. At : left limit differs from , so

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Question ID VK-028437