The complex numbers añ, n ≥ 0, are defined by the condition thatΣan (z −2i)" = 1 + 2z+3z² + ... = Σ(n+1)z"n>011>0holds for each z in C such that |z| < 1 and Im (z) > 0 (here Im (z) denotes the imaginary part of z.)What is lim sup wan?

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The complex numbers an, n > 0, are defined by the condition that Σan (z-2i)" = 1+ 2z+3z² + Σ(n+1)z" n>0 n>0 holds for each z in C such that |z| < 1 and Jm (z) > 0 (here Jm (z) denotes the imaginary part of z.) What is lim sup van?

The complex numbers an, n > 0, are defined by the condition that Σan (z-2i)" = 1+ 2z+3z² + Σ(n+1)z" n>0 n>0 holds for each z in C such that |z| < 1 and Jm (z) > 0 (here Jm (z) denotes the imaginary part of z.) What is lim sup van?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.5: Systems Of Linear Equations In More Than Two Variables

Problem 42E

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Question

The complex numbers añ, n ≥ 0, are defined by the condition that
Σan (z −2i)" = 1 + 2z+3z² + ... = Σ(n+1)z"
n>0
11>0
holds for each z in C such that |z| < 1 and Im (z) > 0 (here Im (z) denotes the imaginary part of z.)
What is lim sup wan?

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