If f(x) = (27 - 2x)^ 1 3 - 3 9 - 3(243 + 5x)^ 1 5 , x 0 is continuous at x = 0, then the value of f(0) is

MHT CET 2025 Mathematics question

If , is continuous at , then the value of is

Answer: (C)

For continuity, . Expand with the binomial series: , so the numerator . Also , so the denominator

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Question ID VK-100605