Question: Let f(x) = (x^2 + x 2) / (x^2 1) and g(x) = 1/2 for x > 1. Is f(x) = O(g(x))?

Let f(x) = (x^2 + x 2) / (x^2 1) and g(x) = 1/2 for x > 1. Is f(x) = O(g(x))?

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