The logistic dynamical system xt+1 = rxt(1 - xt). Start from x0 = 0.75. Find the value

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The logistic dynamical system xt+1 = rxt(1 - xt). Start from x0 = 0.75.
Find the value of the parameter r for which the given discrete-time dynamical system will converge most rapidly to its positive equilibrium. Follow the system for four steps starting from the given initial condition.
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