JEE Advanced Mathematics question

MathematicsContinuity and DifferentiabilityJEE Advanced

Let denote the greatest integer less than or equal to . Now is defined as below:

g(x)=

where . Then

Answer: (A)

Solution

For , : . Let .

- : , so , and . Then on , and . So on : continuous and differentiable at (with

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Question ID VK-109345