Question
Write the Laurent series expansion of ez/ (z-1)2 singularity and the region of convergence. about z = 1. Determine the type of
Answer :
Word Count : 286
To find the Laurent series expansion of \( f(z) = \frac{e^z}{(z-1)^2} \) about \( z = 1 \) and determine the type of singularity, we follow these steps: ### Step 1: Rewrite \( e^z \) Around \( z = 1 \) Since we need the expansion about \( z = 1 \), we express \( e^z \) _________ __________ _____ _______ _______ ________ ____ _________.
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To find the Laurent series expansion of \( f(z) = \frac{e^z}{(z-1)^2} \) about \( z = 1 \) and determine the type of singularity, we follow these steps: ### Step 1: Rewrite \( e^z \) Around \( z = 1 \) Since we need the expansion about \( z = 1 \), we express \( e^z \) _________ __________ _____ _______ _______ ________ ____ _________.
______ ________ ________ ___ ____ _____ _____ _______ _______ ______ _______ _______.
____ ____ ____ _________ __________ _________ ____ ______ _____ __________.
_____ ________ ___ ______ ____ ____ __________.
______ _____ ______ __________ _____ _____.
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