(a) Given an initial approximation to a root of the
Chapter 3, Problem 8(choose chapter or problem)
(a) Given an initial approximation to a root of the equation , explain geometrically, with a diagram, how the second approximation in Newtons method is obtained. (b) Write an expression for in terms of , , and . (c) Write an expression for in terms of , and . (d) Under what circumstances is Newtons method likely to fail or to work very slowly?
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