Question: Let (x) = x 2 c and let e n = x n c be the error in x n . (xn +

Let ƒ(x) = x² − c and let e_n= x_n − √c be the error in x_n.

(xn + c/xn) and en+1 = en/2xn. (a) Show that Xn+1 = (b) Show that if xo> c, then xn> e for all n. Explain

(xn + c/xn) and en+1 = en/2xn. (a) Show that Xn+1 = (b) Show that if xo> c, then xn> e for all n. Explain graphically. (c) Show that if xo> c, then en+1 e/(2c).

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