Mathematical Science Numerical Analysis Numerical Differentiation and Integration

The iteration formula to find the reciprocal of a given number N by Newton’s method is

1
\(x_{n+1}=x_n(2+N)\)
2
\(x_{n+1}=x_n-Nx_{n-1}\)
3
\(x_{n+1}=2(x_n+Nx_{n-1})\)
4
\(x_{n+1}=x_n(2-Nx_n)\)

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