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The residue at the singular point z = -2 of f (z) = 
  • a)
    1/2
  • b)
    1/3
  • c)
    4/3
  • d)
    3/2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The residue at the singular point z = -2 of f (z) =a)1/2b)1/3c)4/3d)3/...
Residue Theorem:
If f(z) is analytic in a closed curve C except at a finite number of singular points within C, then
⁡f(z)dz = 2πi ×  [sum of residues at the singualr points with in C]
Formula to find residue:
1. If f(z) has a simple pole at z = a, then

2. If f(z) has a pole of order n at z = a, then

Calculation:
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Most Upvoted Answer
The residue at the singular point z = -2 of f (z) =a)1/2b)1/3c)4/3d)3/...
Residue Theorem:
If f(z) is analytic in a closed curve C except at a finite number of singular points within C, then
⁡f(z)dz = 2πi ×  [sum of residues at the singualr points with in C]
Formula to find residue:
1. If f(z) has a simple pole at z = a, then

2. If f(z) has a pole of order n at z = a, then

Calculation:
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The residue at the singular point z = -2 of f (z) =a)1/2b)1/3c)4/3d)3/2Correct answer is option 'B'. Can you explain this answer?
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