The exact problem I am looking at is: http://math.stackexchange.com/questions/1469454/taylor-expansion-bound
I am asking this because in my notes there is the inequality $$|\delta_{h,r}f(x)- f''(x)| \leq \frac{11}{12} h^2 ||f^{(4)}||_{\infty}$$ and I tried to prove it on my own. Do we maybe conclude to that in an other way? @robjohn