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MHT CET Mathematics question

MathematicsContinuity and DifferentiabilityMHT CET

For every integer , let and be real numbers. Let function be given by For all integer . If is continuous, then which of the following does not hold for all ?

Answer: (B)

Solution

Continuity at : left limit equals , so (this is (c), and shifted by one it gives ). Continuity at : equals

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Question ID VK-028344