Answer:
0.682
Step-by-step explanation:
[tex]x = \frac{1}{1 + x^2}[/tex]
continuing the iteration from x₃ giving in the question
x₃ = 0.728
x₄ = 0.653
x₅ = 0.701
x₆ = 0.671
x₇ = 0.690
x₈ = 0.678
x₉ = 0.685
x₁₀ = 0.680
x₁₁ = 0.683
x₁₂ = 0.681
x₁₃ = 0.682
x₁₄ = 0.681
x₁₅ = 0.682
x₁₆ = 0.682
x₁₇ = 0.682
The equation converges to 0.682