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If C is a circle |z| = 4 and f(z) = then ∮ f (z) dz is
  • a)
    1
  • b)
    0
  • c)
    -1
  • d)
    -2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If C is a circle |z| = 4 and f(z) =then f (z) dz isa)1b)0c)-1d)-2Corr...

 
Poles of f(z) are z = 1, 2
Both Z = 1 and 2 are inside the curve |z| = 4
= 2πi [sum of residues at z = 1 and z = 2]
If f has a pole of order n at z = a, then Residue of f(z) at z = a is

Residue at z = 1,

Residue at z = 2,
 
 
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Most Upvoted Answer
If C is a circle |z| = 4 and f(z) =then f (z) dz isa)1b)0c)-1d)-2Corr...

 
Poles of f(z) are z = 1, 2
Both Z = 1 and 2 are inside the curve |z| = 4
= 2πi [sum of residues at z = 1 and z = 2]
If f has a pole of order n at z = a, then Residue of f(z) at z = a is

Residue at z = 1,

Residue at z = 2,
 
 
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If C is a circle |z| = 4 and f(z) =then f (z) dz isa)1b)0c)-1d)-2Correct answer is option 'B'. Can you explain this answer?
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