To be fair to Wikipedia, Taylor Series are taught to students in the UK at A-level but only for about (thanks to the horrors of A-level mathematics) an A4 page

To be fair to Wikipedia, Taylor Series are taught to students in the UK at A-level but only for about (thanks to the horrors of A-level mathematics) an A4 page worth of material. As for the section you quote - I saw what it was trying to say in my head (graphically-ish) before I actually parsed the sentence properly, that might be why it's remained poor. It's not a bad explanation it just isn't long enough.