Engineering Mathematics Calculus Mean Value Theorem

Find the coefficient of x3 in the expansion of \(f\left( x \right) = \frac{x}{{1 - x}}\) about x = -1

1
\( \frac{1}{16}\)
2
\(- \frac{1}{8}\)
3
\(+ \frac{1}{8}\)
4
\(- \frac{1}{{16}}\)

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