Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > The Residue offor z = ia isa)1/4α3b)&mi...
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The Residue of
for z = ia is
for z = ia is- a)1/4α3
- b)−i/4α3
- c)−1/4α3
- d)i/4α3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The Residue offor z = ia isa)1/4α3b)−i/4α3c)−1...
Cauchy's Residue Theorem:
Residue of f(z):
Residue of f(z) is denoted as Res[f(z) : z = z0]
z0 is a simple pole of the function f(z)
If f(z) = p(z) / q(z)
Where, p(z), q(z) are polynomials
Then residue is,
Res[f(z) : z = z0] = 
If f(z) has a pole of order 'm' at z = z0 then
If f(z) has a pole of order 'm' at z = z0 then
Res [f(z) : z = z0] =
Calculation:
Calculation:
Given,
Pole of f(z) has order "2"
Pole of f(z) has order "2"
Most Upvoted Answer
The Residue offor z = ia isa)1/4α3b)−i/4α3c)−1...
Cauchy's Residue Theorem:
Residue of f(z):
Residue of f(z) is denoted as Res[f(z) : z = z0]
z0 is a simple pole of the function f(z)
If f(z) = p(z) / q(z)
Where, p(z), q(z) are polynomials
Then residue is,
Res[f(z) : z = z0] =
If f(z) has a pole of order 'm' at z = z0 then
If f(z) has a pole of order 'm' at z = z0 then
Res [f(z) : z = z0] =
Calculation:
Calculation:
Given,
Pole of f(z) has order "2"
Pole of f(z) has order "2"
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The Residue offor z = ia isa)1/4α3b)−i/4α3c)−1/4α3d)i/4α3Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The Residue offor z = ia isa)1/4α3b)−i/4α3c)−1/4α3d)i/4α3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Residue offor z = ia isa)1/4α3b)−i/4α3c)−1/4α3d)i/4α3Correct answer is option 'B'. Can you explain this answer?.
The Residue offor z = ia isa)1/4α3b)−i/4α3c)−1/4α3d)i/4α3Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The Residue offor z = ia isa)1/4α3b)−i/4α3c)−1/4α3d)i/4α3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Residue offor z = ia isa)1/4α3b)−i/4α3c)−1/4α3d)i/4α3Correct answer is option 'B'. Can you explain this answer?.
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