I have this exercise in my Calculus I homework:
Let $f(x)$ be a function such that $f (1) = 2$ and that its derivatives $n$ are given by
$f^{(n)}(x)=(-1)^n(n-1)!/(x+2)^n$ where $n>1$.
I need to give an upper bound, in absolute value, on the error made by approximating the function $f (x)$ by $T_1 (x)$ which is valid for all $x$ and belonging to the interval (0.3). My problem is that I'm not sure how to do that...