2) Use Newton's method to approximate the zero in f(x) = - x3 + 3x-x + 1, or explain why Newton's method fails. Use x1 = 1 as your initial guess. Continue until successive approximations differ by less than .001. Show your work

Question
2) Use Newton's method to approximate the zero in f(x) = - x3 + 3x-x + 1, or explain
why Newton's method fails. Use x1 = 1 as your initial guess. Continue until successive
approximations differ by less than .001. Show your work
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Transcribed Image Text

2) Use Newton's method to approximate the zero in f(x) = - x3 + 3x-x + 1, or explain why Newton's method fails. Use x1 = 1 as your initial guess. Continue until successive approximations differ by less than .001. Show your work

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