If f(x) = x + x^2 + x^3 + + x^n - n x - 1 for x 1 is continuous at x = 1, then f(1) =

MHT CET 2024 Mathematics question

If for is continuous at , then

Answer: (B)

Continuity at requires . The numerator at is , so the limit is of the form. Write it as , and use . Hence

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Question ID VK-093284