By Newton-Raphson x_i f(x_i) f'(x_i) x_i - f(x_i)/f'(x_i) 0.4 -0.158021178 2.311376166 0.468366707 0.468366707 0.00371148 2.422461324 0.466834596 0.466834596 2.03273E-06 2.419809038 0.466833756 0.466833756 6.09734E-13 2.419807586 0.466833756 0.466833756 0 2.419807586 0.466833756