Limit of a Logistic Growth Model

The proportion of a bacteria culture relative to its maximum population, $y$, is modeled by the differential equation $\frac{dy}{dx} = y(1-y)$ with the initial condition $y(0)=0.2$. The table provides selected values for the solution $y(x)$. What is the value of $\lim_{x \to \infty} y(x)$?