So I know how to do Newton's Method without any trouble, taking a value for n then taking it away from the function divided by the derivative of the function I get that entirely and have done roughly 22-23 examples of it over the past 3-4 days. However I have come across one question regarding Newton's Method and it just doesn't make sense to me at all.(adsbygoogle = window.adsbygoogle || []).push({});

It is regarding a starting value x = 0.5 and a"tolerance".No examples in my notes or maths book ever have mentioned about tolerance so I'll just ask the question here.

NOTE:Do not do it for me, that defeats the purpose of my question, I want a step-by-step explanation on how the starting value and the tolerance would be introduced to this sort of question.

Question:f(x) = (x-2)^{3}= 0

Find the derivative of this function, then compute the roots of this equation using Newton's method.

starting value x =0.5

vary the tolerance from 10^{-3}to 10^{-13}reducing the tolerance by 10^{-1}each time

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# Question regarding Newton's Method

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