Question: 8. Consider a fixed-point problem x = g(x). We have shown the existence of the fixed point provided that [g'(x) 1. Show that the sequence

 8. Consider a fixed-point problem x = g(x). We have shown

8. Consider a fixed-point problem x = g(x). We have shown the existence of the fixed point provided that [g'(x) 1. Show that the sequence {Pn}no generated by Pn = 9(Pn-1) does not converge to p for any initial approximation po if we assume that Pn (n = 0,1, ...) never equals p. 8. Consider a fixed-point problem x = g(x). We have shown the existence of the fixed point provided that [g'(x) 1. Show that the sequence {Pn}no generated by Pn = 9(Pn-1) does not converge to p for any initial approximation po if we assume that Pn (n = 0,1, ...) never equals p

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