The residues of a function $${\text{f}}\left( {\text{z}} \right) = \frac{1}{{\left( {{\text{z}} - 4} \right){{\left( {{\text{z}} + 1} \right)}^3}}}$$ are
A. $$\frac{{ - 1}}{{27}}{\text{ and }}\frac{{ - 1}}{{125}}$$
B. $$\frac{1}{{125}}{\text{ and }}\frac{{ - 1}}{{125}}$$
C. $$\frac{{ - 1}}{{27}}{\text{ and }}\frac{1}{5}$$
D. $$\frac{1}{{125}}{\text{ and }}\frac{{ - 1}}{5}$$
Answer: Option B
Join The Discussion