[See Solution] Show that Newton’s method applied to the equation 1/x-a=0 yields the iterative formula


Question: Show that Newton’s method applied to the equation

\[\frac{1}{x}-a=0\]

yields the iterative formula

\[{{x}_{n+1}}=2{{x}_{n}}-a{{\left( {{x}_{n}} \right)}^{2}}\]

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