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To find the reciprocal of a natural number $N$ using the Newton–Raphson method, consider the problem as solving the equation $f(x) = \frac{1}{x} - N = 0$. The root of this equation is $x = \frac{1}{N}$. Applying Newton–Raphson iteration, the general formula is given by $$ ________ _________ ___ _____ ____ _______ _____.
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