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

JEE Advanced Mathematics question

Let

f(x)=

The number of points of discontinuity of in is

Answer: (D)

Each piece is continuous on its own interval ( is constant on ), so only the junctions need checking.

- : , .

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Question ID VK-109315