Question:
The complex function \( e^{-\left(\frac{2}{z-1}\right)} \) has:
The complex function \( e^{-\left(\frac{2}{z-1}\right)} \) has:
Updated On: Jul 12, 2024
- a simple pole at \( z = 1 \)
- an essential singularity at \( z = 1 \)
- a residue equal to \( -2 \) at \( z = 1 \)
- a branch point at \( z = 1 \)
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The Correct Option is B, C
Solution and Explanation
The correct options are (B) :an essential singularity at \( z = 1 \) ,(C):a residue equal to \( -2 \) at \( z = 1 \)
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