# Math Help - In need of verification for Maclaurin Polynomial

1. ## In need of verification for Maclaurin Polynomial

Find the MacLaurin polynomial of degree 3 for the function f(x)=e^2x.

$
\displaystyle{e^{2x}+2e^{2x}x+\frac{4e^{2x}}{2!}x^ {2}+\frac{8e^{2x}}{3!}x^{3}}
$

Is that not correct?

2. Originally Posted by Lolcats
Find the MacLaurin polynomial of degree 3 for the function f(x)=e^2x.

$
\displaystyle{e^{2x}+2e^{2x}x+\frac{4e^{2x}}{2!}x^ {2}+\frac{8e^{2x}}{3!}x^{3}}
$

Is that not correct?
not correct.

$e^u = 1 + u + \frac{u^2}{2!} + \frac{u^3}{3!} + ...$

now sub in $2x$ for $u$

3. Thank you.