Function and Maclaurin series Function $f(x)=\frac{x^2+3\cdot\ e^x}{e^{2x}}$ need to be developed in Maclaurin series.
I can't find any rule to sum all fractions I've got...so any suggestion that helps?
Thanks

Hint: Do you know the expansion for $e^{-2x}$ and $e^{-x}$? Can you multiply a power series by $x^2$ and by $3$? If so, you have the tools. Just give the series for $x^2e^{-2x}+3e^{-x}$
