\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Expand the series for \(e^{x}=\displaystyle\sum_{k=0}^\infty \frac{x^k}{k!}\) up to the term of order 3.
\(e^x=\)
\(+\displaystyle\sum_{k=4}^\infty \frac{x^k}{k!}\)