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69. If a>0, h>0 and ne N, prove that there exists 0, 0<0< 1, such that h? (- 1)" - ' h"- ! 1 1 h (- 1)" h" +

69. If a>0, h>0 and ne N, prove that there exists 0, 0<0< 1, such that h? (- 1)" - ' h"- ! 1 1 h (- 1)" h" +

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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69. If a> 0, h>0 and n e N, prove that there exists 0, 0 < 0< 1, such that 1 1 h.h? (– 1)" –1 h"- 1 (- 1)" h" | а +h 3. a ••. а a a' (a + 0h)" + 1
Transcribed Image Text:69. If a> 0, h>0 and n e N, prove that there exists 0, 0 < 0< 1, such that 1 1 h.h? (– 1)" –1 h"- 1 (- 1)" h" | а +h 3. a ••. а a a' (a + 0h)" + 1
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