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Use Newton's Method to Approximate the Zero Of f(x)=x3+3x+3f(x)=x^{3}+3 x+3 Between x=0x=0

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Use Newton's method to approximate the zero of f(x)=x3+3x+3f(x)=x^{3}+3 x+3 between x=0x=0 and x=2x=2 using x0=1x_{0}=1 . Continue until two successive approximations differ by less than 0.00001.

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