For what values of x does the series below converge? What is its sum? What series do you get if you differentiate the given series term by term? For what values of x does the new series converge? What is its sum? 1 1 n 1 1- (x−8) + (x−8)² + + ... + (x − 8) + ...

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
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For what values of x does the series below converge? What is its sum? What series do you get if you differentiate the given series term by term? For what values of x
does the new series converge? What is its sum?
1
1
1
- (x-8) + (x-81²
1 n
(x-8) + ...
+ ... +
3
9
3
Transcribed Image Text:For what values of x does the series below converge? What is its sum? What series do you get if you differentiate the given series term by term? For what values of x does the new series converge? What is its sum? 1 1 1 - (x-8) + (x-81² 1 n (x-8) + ... + ... + 3 9 3
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