Question
Obtain the Laurent series expansion of about
. Determine the type of singularity and the region of convergence.
Answer :
Word Count : 57
Let (w=z-1). Then [ \frac{e^{z}}{(z-1)^2}=\frac{e^{1+w}}{w^2}=e,\frac{e^{w}}{w^2}. ] Using the Taylor _____ ___ ________ ______ ______ _________ _______ ____.
___ ___ _________ _________ ____ _____ _____ __________ ___.
_______ _____ ______ ______ ___ ________ __________ _______.
____ ______ _____ ____ _________ ________ _________ _______ _________ ________ _________ ______.
___ ______ ______ ___ ______ _____ ________.
_______ _______ ________ _________.
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Let (w=z-1). Then [ \frac{e^{z}}{(z-1)^2}=\frac{e^{1+w}}{w^2}=e,\frac{e^{w}}{w^2}. ] Using the Taylor _____ ___ ________ ______ ______ _________ _______ ____.
___ ___ _________ _________ ____ _____ _____ __________ ___.
_______ _____ ______ ______ ___ ________ __________ _______.
____ ______ _____ ____ _________ ________ _________ _______ _________ ________ _________ ______.
___ ______ ______ ___ ______ _____ ________.
_______ _______ ________ _________.
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