engineering recuitment GATE IN Test Series 2023-24 Mock Test Engineering Mathematics Complex Variables Taylor's Series
While expanding the function \(f\left( z \right) = \frac{{z - 1}}{{z + 1}}\) using Taylor’s series about the point z = 1, what is the coefficient of (z - 1)3 term is
1
\( - \frac{1}{8}\)
2
\( - \frac{1}{4}\)
3
\(\frac{1}{8}\)
4
\(\frac{1}{4}\)