Newton Raphson Works Great, Until It Doesn't - Part 1

Calculus Level 4

Consider the function given by f(x)=x(x1)(x+1) f(x) = x(x-1)(x+1) . If we apply the Newton Raphson method with the approximate root x0=0.45 x_0 = 0.45 , which root would we converge to?

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