\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The Maclaurin polynomial of degree 3 for the function \(f(x) = e^x\) is$$ P_3(x) = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} $$Use this polynomial to find an approximation for \(e\) (round to 3 decimal places).
\(e \approx\)