Question
Use the result of Exercise 79 to approximate the square roots in exercises. In each case, start with $x_{0}=1$ and stop when $\left|x_{k+1}-x_{k}\right|<0.001$.$$\sqrt{2}$$
Step 1
The formula for the Newton method is $x_{k+1} = \frac{1}{2}(x_{k} + \frac{a}{x_{k}})$ where a is the number we are trying to find the square root of. Show more…
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