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Let f, g be two continuous functions on R so that limx0 f (x) = 1, g(0) = 10, limx1 g(x) = 2. Decide the

Let f, g be two continuous functions on R so that limx0 f (x) = 1, g(0) = 10, limx1 g(x) = 2. Decide the value of limx0 g f (x) if it exists. 1

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