# Math Help - McLaurin Series Error Approximation

1. ## McLaurin Series Error Approximation

Could someone give a summary of how to complete this problem?

$f(x)=e^{3x}$

Determine the maximum error if $M_4(1)$ is used to approximate $e^3$

2. ## Re: McLaurin Series Error Approximation

Originally Posted by Mike9182
Could someone give a summary of how to complete this problem? $f(x)=e^{3x}$ Determine the maximum error if $M_4(1)$ is used to approximate $e^3$
Hint $e^3=f(1)=M_4(1)+\frac{3^5e^{3\xi}}{5!}$ where $0<\xi<1$ .