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JEE Advanced 2008 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Advanced 2008

Let and be real valued functions defined on interval such that is continuous, , , , and .

STATEMENT-1: .

STATEMENT-2: .

Answer: (B)

Solution

is true by product rule. , and by L'Hôpital the limit equals , so

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Question ID VK-000772