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The Newton-Raphson method is a powerful technique for finding roots of equations and can be adapted to compute the reciprocal of a natural number $N$. To begin, consider the function $f(x) = \frac{1}{x} - N$. The root of this function corresponds to $x = \frac{1}{N}$, which is the reciprocal of $N$. The Newton-Raphson _____ ______ ___ __________ _________ ______ ___.
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