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Consider the integral
where C is the counter clockwise oriented circle defined as |x −i|= 2 . The value of the integral is
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Consider the integralwhere C is the counter clockwise oriented circle ...
So, the contour C represent a circle with centre (0, 1) and radius 2.
Pole x1 = 0 and x2 = 2i lie inside the circle but pole x3 =−2i lies outside of the circle.
Thus we will find residue at pole x1 = 0 and x2 = 2i .
Residue of f ( x) with multiple pole at x = a with order m is given by,
Hence, none of the option is matching.
This question is not in proper form as per their options, so this question must be considered as marks to all (MTA).
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Community Answer
Consider the integralwhere C is the counter clockwise oriented circle ...
So, the contour C represent a circle with centre (0, 1) and radius 2.
Pole x1 = 0 and x2 = 2i lie inside the circle but pole x3 =−2i lies outside of the circle.
Thus we will find residue at pole x1 = 0 and x2 = 2i .
Residue of f ( x) with multiple pole at x = a with order m is given by,
Hence, none of the option is matching.
This question is not in proper form as per their options, so this question must be considered as marks to all (MTA).
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Consider the integralwhere C is the counter clockwise oriented circle defined as |x −i|= 2 . The value of the integral isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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