CPM Homework Help : CALC Problem 8-141

Without looking at the graph, use Newton's Method for approximating roots for $f(x) =\frac { 1 } { 1 + x ^ { 2 } }$ if $x_1 = 1$ . What happened?

Hint:

What happened?
Think about the shape of the graph of $f(x)$ .
What is its range? What does that mean about the roots?