Consider the power series f (a)-Σσ", αε (-1, 1). т € (-1,1). n=0 Show that it converges uniformly on [-a, a] for any 0 < a < 1. Hint: What are the partial sums?
Consider the power series f (a)-Σσ", αε (-1, 1). т € (-1,1). n=0 Show that it converges uniformly on [-a, a] for any 0 < a < 1. Hint: What are the partial sums?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the power series
f(3) -Σα", πε (-1, 1).
x € (-1, 1).
n=0
Show that it converges uniformly on [-a, a] for any 0 < a < 1. Hint: What are the
partial sums?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4df1412f-98f8-45f1-b949-6e67ef4913aa%2F6b3e5e4e-705e-49a0-a298-38bfc30749a9%2Fw5qv1kp_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the power series
f(3) -Σα", πε (-1, 1).
x € (-1, 1).
n=0
Show that it converges uniformly on [-a, a] for any 0 < a < 1. Hint: What are the
partial sums?
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