![](https://blogs.sas.com/content/iml/files/2015/06/Julia_set_for_the_rational_function.png)
In my article about finding an initial guess for root-finding algorithms, I stated that Newton's root-finding method "might not converge or might converge to a root that is far away from the root that you wanted to find." A reader wanted more information about that statement. I have previously shown