n Reszk = 0. k=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 18E
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Let p(z) be a polynomial with deg=n−2 and q(z) a polynomial with deg=n. Let q(z) have distinct roots z1, . . ., zn. Use the residue theorem to a large circular contour. Prove that:

 

 

n
Σ
Res,
= 0.
Zk
k=1
Transcribed Image Text:n Σ Res, = 0. Zk k=1
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