Hello all, Recently I've found something very interesting concerning Taylor series. It's a graphical representation of a second order error bound of the series. Here is the link: http://www.karlscalculus.org/l8_4-1.html [Broken] My question is: is it possible to represent higher order error bounds in a similar way? For example: third order error term would have "3! = 6" in a denominator... I know that Taylor series is based on Mean Value Theorem and I know the proof of it. However it would become much clearer if it was possible to represent error bounds in a graphical way. Have a nice weekend.