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1. Given that n=0 power series which converges to (1-x)-2 on (-1, 1). converges to (1-x)-¹ on (-1, 1), find a Write your answer in the form terms followed by (C "" Hint: How is (1-x)-2 connected to (1-x)-¹? o anx" or show the first 4 nonzero

1. Given that n=0 power series which converges to (1-x)-2 on (-1, 1). converges to (1-x)-¹ on (-1, 1), find a Write your answer in the form terms followed by (C "" Hint: How is (1-x)-2 connected to (1-x)-¹? o anx" or show the first 4 nonzero

Advanced Engineering Mathematics
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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Real Analysis II Please kindly follow instructions and hint
1. Given that on converges to (1-x)-¹ on (-1, 1), find a =0 -2 power series which converges to (1 − x)-² on (-1,1). Write your answer in the form terms followed by (C "" Hint: How is (1-x)-2 connected to (1 − x)−¹? o anx" or show the first 4 nonzero
Transcribed Image Text:1. Given that on converges to (1-x)-¹ on (-1, 1), find a =0 -2 power series which converges to (1 − x)-² on (-1,1). Write your answer in the form terms followed by (C "" Hint: How is (1-x)-2 connected to (1 − x)−¹? o anx" or show the first 4 nonzero
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