4. Let C be the unit circle with the counterclockwise orientation. Evaluate ((z)n−¹ − 1) (zª +z) fỸ − dz, 2n n=1 and justify your answers.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 27E
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4. Let C be the unit circle with the counterclockwise orientation. Evaluate
∞
((z)n−¹ − 1) (zª +z)
$ Σ
2n
n=1
and justify your answers.
-dz,
Transcribed Image Text:4. Let C be the unit circle with the counterclockwise orientation. Evaluate ∞ ((z)n−¹ − 1) (zª +z) $ Σ 2n n=1 and justify your answers. -dz,
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