Let CR denote the circle z = Rei (0 ≤ 0≤ 2π). Show that lim R→∞ CR 2-4 (2² + 1) (2³ — 5) dz = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
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Please help with the following Complex Analysis question. 

Let CR denote the circle z = Ree (0 ≤ 0 ≤ 2π). Show that
2-4
lim
Loote
R→∞ (z² + 1)(z³ — 5)
CR
-dz = 0
Transcribed Image Text:Let CR denote the circle z = Ree (0 ≤ 0 ≤ 2π). Show that 2-4 lim Loote R→∞ (z² + 1)(z³ — 5) CR -dz = 0
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