Difficult# Taylor Series Error (Lagrange Error Bound)

APCALC-ZJEMBU

If $| f^{ n }( x ) | <1$, where $f^{n} (x)$ is the nth derivative of $f(x)$, what is the minimum number of terms of the Taylor series for $f(x)$ centered at $x=2$ needed to approximate $f(2.1)$ with an error less than $0.001$?