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Let y(x)y(x)y(x) be a function satisfying dydx=8y−2y2\dfrac{dy}{dx}=8y-2y^2dxdy=8y−2y2 and y(2016)=1y(2016)=1y(2016)=1. Compute limx→∞y(x)\displaystyle \lim_{x \rightarrow \infty}y(x)x→∞limy(x).
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