Question
Using Newton-Rapshson method, find an iterative formula to compute the reciprocal of a natural number N.
Answer :
Word Count : 184
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 $$ _________ _______ __________ __________ _____ ______ _______.
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________.
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To find the reciprocal of a natural number $N$ using the Newton–Raphson method, consider the problem as solving the equation $f(x) = \frac{1}{x} - N = 0$. The root of this equation is $x = \frac{1}{N}$. Applying Newton–Raphson iteration, the general formula is given by $$ _________ _______ __________ __________ _____ ______ _______.
_______ _________ __________ ________ ______ ____ __________ ______ _______ _________.
________ ______ __________ ______ _________ ____ _________ ____ _______ _______ ______.
_______ __________ _________ ________ ____ _______ ________ ___ ______ _______.
_________ ______ ____ __________ __________ __________ ______ _________ _________ _________.
________ _____ _______ ___ _____ ______ ________ __________ _____ _______ ________.
__________ ___ __________ ______ _____ _____ ___ __________ ______.
________ ________ _____ _____ _________ __________ ___ _________ ________.
______ ____ _____ ____ _____ _______ _________ ____ ___ __________.
_______ ______ _________ ________ __________ _______ ___ _________ _____ ______.
__________ ___ _______ ___ _________ ______ _____ ___ ______.
___ _____ ________ ________ _________ ________ _________ _______ ____.
____ ___ ___ ______ __________ ____ ____ ____.
________ _______ ________ _______ __________ _______ ______.
__________ ______ ________ ___ _______ ___ ____.
________.
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