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(A) Explain Why Newton's Method Is Unable to Find a Root

Question 9

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(a) Explain why Newton's Method is unable to find a root for x3−3x+4=0x ^ { 3 } - 3 x + 4 = 0 if x1=1x _ { 1 } = 1 or x1=−1x _ { 1 } = - 1 .(b) Using x1=−2x _ { 1 } = - 2 ,use Newton's Method to approximate a root of this equation to four decimal places.

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