The residues of a function \(f\left( z \right) = \frac{1}{{\left( {z - 4} \right){{\left( {z + 1} \right)}^3}}}\) are:
1
\( - \frac{1}{{27}}\;and - \frac{1}{{125}}\)
2
\(\frac{1}{{125}}\;and - \frac{1}{{125}}\)
3
\(- \frac{1}{{27}}\;and\frac{1}{5}\)
4
\(\frac{1}{{125}}\;and - \frac{1}{5}\)