If f(x)= 1+ x (1-x)^2 for x 1 is continuous at x=1, then f(1) is equal to

MHT CET 2024 Mathematics question

If for is continuous at , then is equal to

Answer: (A)

Continuity requires . Put , . Then , so . Hence \frac{2\sin^2(π t/2)}{π t^2}\frac{2}{π}\frac\sin$(π

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Question ID VK-092814