Hello once again,

I have this problem that wants me to estimate the sum of a given series within 0.0001.

"Consider the series $\displaystyle \sum_{k=1}^{\infty}\frac{{4(-1)^k}}{(3^k)*k!}$. Estimate the sum of the series within 0.0001."

I can't find any examples in my textbook that seem to explain how I would go about this. Can anyone explain how to approach this problem? I would greatly appreciate any help.

Thanks.