GATE 2022 IN – Question 61
For $f(z)=1/[(z+1)(z+2)(z+3)]$, the residue at $z=-1$ is ______.
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: 0.49 to 0.51
Explanation
Multiply f(z) by z+1 and evaluate at −1. The remaining denominator is (−1+2)(−1+3)=2, so residue is **0.5**.