Let f(x)= x, g(x)=[x+1] and g f(x) =h(x), where [ ] is the greatest integer function. Then h' ! ( 2 ) is

JEE Advanced Mathematics question

Let , and , where is the greatest integer function. Then is

Answer: (A)

. At : . For near (but ) , , so . Hence is discontinuous at and cannot be differentiable

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Question ID VK-109320