Find the First Four Non-Zero Terms of the Taylor Series $x e ^ { x }$

True/False

Find the first four non-zero terms of the Taylor series at x = 0 for f(x) = 1 + $x e ^ { x }$ .
Is $1 + x + x ^ { 2 } + \frac { x ^ { 3 } } { 2 ! }$ the correct answer?