MATH 317 Midterm: MATH317 Fall 2009 Exam
31 Jan 2019
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Instructions: all questions carry equal weight, answer 6 or 7 questions; credit will be given for the best 6 answers, answer questions in the exam book provided. Start each answer on a new page: this is a closed book exam, notes and textbooks are not permitted, non-programmable calculators are permitted, translation dictionaries (english-french) are permitted. This exam comprises of the cover page, and 3 pages of 7 questions. |xn x | 6 10 8, where x is the zero of f (x). (d) the following three iterative methods are proposed to compute 3 3. Rank them in order, based on the order of convergence in a neighbourhood of the (positive) root. (i) xn+1 = xn x3 n + 3, (ii) xn+1 = 1 x2 n (iii) xn+1 = xn (x6 n 9) 2. (a) let f (x) be n + 1 times continuously di erentiable on [a, b] and x0, x1, .
