ct a power series whose interval of convergence is exactly [0,3]. his should go without saying, but it is not enough to write down the power series: need to prove that its interval of convergence is [0, 3].

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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1. Construct a power series whose interval of convergence is exactly [0,3].
Note: This should go without saying, but it is not enough to write down the power series:
you also need to prove that its interval of convergence is [0, 3].
Transcribed Image Text:1. Construct a power series whose interval of convergence is exactly [0,3]. Note: This should go without saying, but it is not enough to write down the power series: you also need to prove that its interval of convergence is [0, 3].
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