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Assume that g(x) is continuously differentiable and that the Fixed-Point Iteration g(x) has exactly three fixed points, ri < r2 < r3. Assume also

Assume that g(x) is continuously differentiable and that the Fixed-Point Iteration g(x) has exactly three fixed points, ri < r2 < r3. Assume also that g'(r) = 0.5 and |g'(r3)| = 0.5. List all values of [g' (r2)| that are possible under these conditions.

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