Exercise 1.14. Show that the series ∞ Σ n=1 converges absolutely for |z| < 1. 12+ 2z10n 272 5zn² − 3z³ + 2z10n²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Exercise 1.14. Show that the series
Σ
12 + 2z10n – 5zn2 – 3z3 + 2z10n2
n=1
-
-
converges absolutely for |z| < 1.
Transcribed Image Text:Exercise 1.14. Show that the series Σ 12 + 2z10n – 5zn2 – 3z3 + 2z10n2 n=1 - - converges absolutely for |z| < 1.
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