MHB Find First 5 Nonzero Terms of Maclaurin Series for $e^{4x} \sqrt{1+x}$

[ineedhelpnow]

find the first 5 nonzero terms in maclaurin series. (might be binomial)

$f(x)=e^{4x} \sqrt{1+x}$my book doesn't explain it properly and my instructor didnt explain it and I am very stuck and there's going to be one similar to this on the test. help!

 

[Prove It]

find the first 5 nonzero terms in maclaurin series. (might be binomial)

$f(x)=e^{4x} \sqrt{1+x}$my book doesn't explain it properly and my instructor didnt explain it and I am very stuck and there's going to be one similar to this on the test. help!

Find a series for $\displaystyle \begin{align*} \mathrm{e}^{4x} \end{align*}$, find a series for $\displaystyle \begin{align*} \left( 1 + x \right) ^{\frac{1}{2}} \end{align*}$ and then multiply them together...

 

[ineedhelpnow]

ok thanks. nice "seeing" you again Prove It. :)