Thomas Edison State University Basic Subject of Cauchy Integrals Worksheet
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1. Evaluate the integral ?
?? 2 +4??+3
??
???? where C is the circle with center -1 and radius 2
counterclockwise.
2. Integrate ?
4?? 3 ?6
?? ??(???1???)2
???? C consists of |??| = 3 counterclockwise and |??| = 1 clockwise.
3. Find the Maclaurin series and its radius of convergence of
4. Find the Taylor series of
1
(??+??)2
with center ??0 = ??
??+2
1??? 2
.
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