Use Newton's method to solve |x| = 0 (the solution is 0). This is the square root

Question:

Use Newton's method to solve √|x| = 0 (the solution is 0). This is the square root of the absolute value of x. Why does the method fail?
As mentioned in the text, although Newton's method works incredibly well most of the time, it can perform poorly or even fail in many circumstances. For each of the following, graph the function and illustrate the above problem.