Approximating reciprocals To approximate the reciprocal of
Chapter 4, Problem 43(choose chapter or problem)
Approximating reciprocals To approximate the reciprocal of a number a without using division, we can apply Newtons method to the function f 1x2 = 1 x - a. a. Verify that Newtons method gives the formula xn + 1 = 12 - axn2xn. b. Apply Newtons method with a = 7 using a starting value of your choice. Compute an approximation with eight digits of accuracy. What number does Newtons method approximate in this case?
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