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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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1. a) The following four methods are proposed to compute 213. WRITE them in order, based on their apparent speed of convergence, assuming x0 = 1. (CLO-1, Marks 15) i) Xn+1 = (20x + ii) Xn+1 = xn - X-21 3x² iii) Xn+1 = xn - xn-21xn x²-21 iv) Xn+1= (21) for n=0, 1, 2, ... b) Complete the following table by FINDING missing values: X f(x) 2.0 3.6887983 2.1 3.6905701 2.2 3.6688192 2.3 3.6245909 f'(x)

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