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29. For |x|<1, prove that 24x 1-x 16x 8x 1 + 1-x1+x ....... 8x &r = 1+ (1- x) (1 +x)2 ' (1-x)2 ...

29. For |x|<1, prove that 24x 1-x 16x 8x 1 + 1-x1+x ....... 8x &r = 1+ (1- x) (1 +x)2 ' (1-x)2 ...

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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29. For |x|<1, prove that 16x 24x 8x 1 + 1-x'1+x 1-x 8x? 8x = 1+- +.. (1- x)²" (1+x2" (1-x² (1 +x)? ' (1 –x)?
Transcribed Image Text:29. For |x|<1, prove that 16x 24x 8x 1 + 1-x'1+x 1-x 8x? 8x = 1+- +.. (1- x)²" (1+x2" (1-x² (1 +x)? ' (1 –x)?
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