Maclaurin’s series expansion for the function \(f\left( x \right) = x{e^{ - x}}\) is

1
\(1 + x - {x^2} + \frac{{{x^3}}}{2} + \ldots \)
2
\(x + {x^2} + \frac{{{x^3}}}{3} + \ldots \)
3
\(x - {x^2} + \frac{{{x^3}}}{2} + \ldots \)
4
\(1 - x + {x^2} + \frac{{{x^3}}}{2} + \ldots \)

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