3. (a) Show that the power series * does not converge uniformly for |2| < 1. k=1 (b) Show that the power series kz* does not converge at any point on the unit circle |z| = 1. |3D k=1 (c) Show that the power series converges uniformly for |z| = 1.
3. (a) Show that the power series * does not converge uniformly for |2| < 1. k=1 (b) Show that the power series kz* does not converge at any point on the unit circle |z| = 1. |3D k=1 (c) Show that the power series converges uniformly for |z| = 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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