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To solve an iterated function, start by defining the function ( f(x) ) and identify the initial value ( x_0 ). Then, compute subsequent values by repeatedly applying the function, such as ( x_1 = f(x_0) ), ( x_2 = f(x_1) ), and so on. This process continues until a certain condition is met, such as reaching a fixed point or a designated number of iterations. Analyzing the convergence or divergence of the sequence can provide insights into the behavior of the iterated function.

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6mo ago

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