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Solve the Problem x0x _ { 0 } That Lies at a Critical Point

Question 396

Essay

Solve the problem.
-Suppose Newton's Method is used with an initial guess x0x _ { 0 } that lies at a critical point (a,b),b≠0( a , b ) , b \neq 0 . What happens to x1x _ { 1 } and later approximations? Give reasons for your answer.

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