Google fails after a few zoom outs for me, screenshot: http://i.imgur.com/Kss1x.png http://i.imgur.com/Kss1x.png One way is to set a threshold for whether or n

Google fails after a few zoom outs for me, screenshot: http://i.imgur.com/Kss1x.png http://i.imgur.com/Kss1x.png One way is to set a threshold for whether or not to join the dots, if it's above the threshold perform a search between those points to see if they are between the dots or if they diverge, this search can be complicated or simple, google seems to use a fair bit of cpu power when zooming out on tan(x) so I'm guessing they're using a search here rather than some alternative 'clever' induction from the nature of the curve itself.