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For the function $(z) = \frac{1}{z^2(e^z-1)}, z=0$ is a pole of order:

  1. $1$
  2. $2$
  3. $3$
  4. None of these
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Is this part of Gate Syllabus?
1
1
NO this comes under COMPLEX FUNCTIONS [TOPIC SINGULARITY & RESIDUES].
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1 Answer

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OPTION C is the answer.

refer:-> https://math.stackexchange.com/a/1006842/563694

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