\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Use the general binomial series formula:$$ (1+x)^p = 1 + px + \frac{p(p-1)}{2!}x^2 + \frac{p(p-1)(p-2)}{3!}x^3 + \dots $$to find the Maclaurin series for \(f(x) = (1+x)^3\). Explain why the series terminates.
\((1+x)^3=\)