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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 30RE
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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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