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

At the solution $x=s,\: g’(s)=0$ and $g’’(s) \neq 0$. The order of convergence for this iterative scheme near the solution is ________