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in Limit, continuity and differentiability by (54.9k points)

Let f: R → R be a differentiable function with f(0) = 0. If y = f(x) satisfies the differential equation dy/dx = (2 + 5y)(5y - 2), then the value of lim(x → ∞) f(x) is .......   

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We have the differential equation

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