Hi,

I having trouble understanding how to use the Maclaurin series on this question. I would be thankful if someone could give me nudge in the right direction.

Use the Maclaurin series to evaluate the limit

$\displaystyle \lim {(x \to 0)}\ \frac{e^{x}\sin{x} - x - x^2}{x^3}$

Thanks for any help.