(a) Find the sum to infinity of the series 1-3x+5x² - 7x³ + .... ∞ where 0 < x < 1

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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(a) Find the sum to infinity of the series 

            1-3x+5x\power{2}-7x\power{3}+....∞

where 0<|x|<1

(b) Find the sum of the series 
    
     1×n+2(n-1)+3(n-2)+......+  (n-1)×2+n×1

 

(a) Find the sum to infinity of the series
3
1-3x+5x² - 7x³ + 8
where 0 < |x| < 1
(b) Find the sum of the series
1×n + 2(n − 1) + 3(n − 2) + .…..... + (n-1)×2+n×1
Transcribed Image Text:(a) Find the sum to infinity of the series 3 1-3x+5x² - 7x³ + 8 where 0 < |x| < 1 (b) Find the sum of the series 1×n + 2(n − 1) + 3(n − 2) + .…..... + (n-1)×2+n×1
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