AP Calculus BC
A function f, which has derivatives for all orders for all real numbers, has a 3rd degree Taylor polynomial for f centered at x = 2.
The 4th derivative of f satisfies the inequality f^(4)(x) ≤ 3 for all x the interval from 1.5 to 2 inclusive. Find the LaGrange error bound if the 3rd degree Taylor polynomial is used to estimate f(1.5). You must show your work but do not need to evaluate the remainder expression.
I really only need to understand what the question is asking me to do. I am having a difficult time understanding. But if you are able to solve the problem that would be awesome too!
Thanks in advanced!