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JEE Advanced 2020 Paper 2 Mathematics Q9
Mathematics
Problem
Let f : ℝ → ℝ and g : ℝ → ℝ be functions satisfying f(x + y) = f(x) + f(y) + f(x)f(y) and f(x) = xg(x) for all x, y ∈ ℝ. If lim(x→0) g(x) = 1, then which of the following statements is/are TRUE?
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