JEE Advanced Mathematics question

MathematicsContinuity and DifferentiabilityJEE Advanced

The left-hand derivative of at , where is an integer and = greatest integer not greater than , is

Answer: (A)

Solution

. For small , and

π(k-h) = kππ h - kπ π h = -(-π h = (-π h.

f'(k-0) =

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Question ID VK-110548