engineering recuitment GATE CE 2023-24 Test Series 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
\(- \frac{1}{{16}}\)