I am not understanding how to proceed with this exercise, which asks me to solve $f(x) = 0$ by using Newton's method. It asks me to study the convergence of the sequences $x_k$ (built with Newton's method) as $x_0$ varies ($x_0 \in\mathbb{R}$).The problem is that the given $f(x)$ are $f_1(x) = x^{2/5}$ and $f_2(x) = \vert x \vert^{1/3}$.
In these scenarios, the root is $x = 0$ but it's also the point at which the functions are not differentiable.
