View source for Demonstration: Newton's Method When There Are No Roots

<html>
<script type="text/javascript" src="http://www.wolfram.com/cdf-player/plugin/v2.1/cdfplugin.js"></script>
<script type="text/javascript">
var cdf = new cdfplugin();
cdf.setDefaultContent('<a href="http://www.wolfram.com/cdf-player/"><img  src="http://helmut.knaust.info/Demos/Newton.png"></a>');
cdf.embed('http://helmut.knaust.info/Demos/Newton.cdf', 586, 555);
</script>
</html>

This Demonstration applies Newton's method to the equation $x^2+1=0$, illustrating that the arctangents of the iterates are uniformly distributed on the interval $(-\pi/2,\pi/2)$.