Correct answer: (A) Converges to p₁ for p₁<x₀<p₂.; (D) Converges to p₁ for x₀<p₁.
Explanation
g is increasing and g(x)−x is strictly convex, negative between its two zeros and positive outside. Starting between p₁,p₂ gives a decreasing sequence bounded below by p₁, hence limit p₁. Starting below p₁ gives an increasing sequence bounded above by p₁, again limit p₁. Starting above p₂ yields increasing iterates escaping rather than converging to p₂. **A,D**.
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