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Author Question: Suppose Newton's Method applied to f(x) = x1/3 is used to "find" the root of the equation x1/3 = 0 ... (Read 74 times)

CBme

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on: May 26, 2021

Question 1

Use Newton's Method to find the roots of the equation cos x = x.
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Question 2

Suppose Newton's Method applied to  f(x) = x1/3  is used to "find" the root of the equation  x1/3 = 0 with initial guess  x0 = r ≠ 0. What result does the first iteration of the method yield? The second iteration? The nth iteration? Why do these not converge to the obvious root  x = 0  no matter how close the initial guess  r  was to that root?
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Marked as best answer by CBme on May 26, 2021

Heffejeff

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Reply #1 on: May 26, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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CBme

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Reply 2 on: May 26, 2021
Great answer, keep it coming :)

dyrone

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

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