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Newton Raphson Error upper bound

Hi,

I’m attempting part c of this question, note this question is supposed to be done without a calculator. I believe we are just supposed to say x_n = root 2 in the error calculation but I can’t seem to get an accuracy of 10^-11, is there any way (without using a calculator or attempting to calculate x_2, x_1) to find an upper bound for e_3 that is < 10^-11



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Youre told e0 is ~ 0.1, so just work that through?
Reply 2
Original post by mqb2766
Youre told e0 is ~ 0.1, so just work that through?


Where are we told e_0 is approx 0.1 I don’t see that in the question?
Original post by grhas98
Where are we told e_0 is approx 0.1 I don’t see that in the question?


The root lies between 1.4 and 1.5 and you start with 1.5 so the error is ~ 0.1 max.

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