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?

College Algebra (MindTap Course List)
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Chapter1: Equations And Inequalities
Section1.CR: Chapter Review
Problem 68E: Determine the number and nature of the roots of the equation in Exercise 67. Calculate the...
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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?
Transcribed Image Text: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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