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To solve an algebraic equation $f(x)=0$, an iterative scehme of the type $x_{n+1} = g(x_n)$ is proposed, where $g(x)=x-\dfrac{f(x)}{fā€™(x)}$.

At the solution $x=s,\: gā€™(s)=0$ and $gā€™ā€™(s) \neq 0$. The order of convergence for this iterative scheme near the solution is ________
in Calculus recategorized by
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