Come up with a power series centered at 0, which has radius of convergence 2, and is convergent at x = 2 but divergent at x = -2. Use computations or other theorems covered in class to back up your answer.

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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Come up with a power series centered at 0, which has radius of convergence 2, and is convergent at
x = 2 but divergent at x = -2. Use computations or other theorems covered in class to back up
your answer.
Transcribed Image Text:Come up with a power series centered at 0, which has radius of convergence 2, and is convergent at x = 2 but divergent at x = -2. Use computations or other theorems covered in class to back up your answer.
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