Let d >1 and In be a sequence of points with x1 > vd. We consider...

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Let d >1 and In be a sequence of points with x1 > vd. We consider the function f (x) = x2 – d. We denote by xn+1 the intersect of the tangent line of the function f at (xn, x- d) and x-axis. (1) Show that xn > Vd. (2) Show that x + d Xn+1 = 2xn (3) Show that Xn - Và Xn+1 – Vd < (4) Show that lim xn Let d >1 and In be a sequence of points with x1 > vd. We consider the function f (x) = x2 – d. We denote by xn+1 the intersect of the tangent line of the function f at (xn, x- d) and x-axis. (1) Show that xn > Vd. (2) Show that x + d Xn+1 = 2xn (3) Show that Xn - Và Xn+1 – Vd < (4) Show that lim xn