Could someone give a summary of how to complete this problem? $\displaystyle f(x)=e^{3x}$ Determine the maximum error if $\displaystyle M_4(1)$ is used to approximate $\displaystyle e^3$
Hint $\displaystyle e^3=f(1)=M_4(1)+\frac{3^5e^{3\xi}}{5!}$ where $\displaystyle 0<\xi<1$ .