1. Find a Laurent series based at 0 for each of the following functions f . Where does the series converge? (a) f (z)= z2 sin 1 z (b) 2z f (z)= e z4 (c) f (z)= Log(z +1) z2


1. Find a Laurent series based at 0 for each of the following functions
f
. Where does the series converge?


(a)
f
(z)=
z2 sin 1



z


(b)
















2z




f
(z)=
e



z4


(c)
f
(z)= Log(z
+1)



z2





May 12, 2022
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