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- 3√2 , 6√3 and 9√4
- Fractions can be arranged in either ascending or descending order of magnitude. Ascending order is the arrangement from the lowest to the highest number while descending is the arrangement from the highest number to the lowest.
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at x = 3 which looks a long way from the solution but the Newton Raphson process converged VERY quickly in only 3 iterations to 1.934 which is correct to 4 sig figs.
It is sometimes a little disappointing when the process converges so quickly if you like seeing it converge!
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Here is a nicer picture which I find more satisfying. It is the graph of y = f(x) so the solution of f(x) = 0 is the point where the graph crosses the x axis at x = α.
This diagram shows how the iterative process approaches the solution of the equation f(x) = 0.
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