Hey guys, I'm having a problem with a concept question about Newton's Method. The question is, "Suppose your first guess is lucky, in the sense that x0 is a root of f(x) = 0. Assuming that f'( x0) is defined and not 0, what happens to x1 and later approximations?"

I think it's just the way that the question is worded that's the confusing part, but I can't seem to figure it out. Can you guys help me get started? Thanks in advance!

EDIT: x0 is x subscript 0 and x1 is x subscript 1. I dunno how to actually do it on here.