JEE Advanced Mathematics question

Mathematics Continuity and Differentiability JEE Advanced

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

(A)
(B)
(C)Correct
(D)none of these

Answer: (C)

Solution

On , , so . is discontinuous where its argument passes through (or touches) an integer: - : , — 2 points; - : , — 2 points; -

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Question ID VK-109964