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39. (a) Show that 1 1 > 0 2x V1+x² for x > 1. (b) Use your result in (a) to show that 1 dx 1+x is divergent.

39. (a) Show that 1 1 > 0 2x V1+x² for x > 1. (b) Use your result in (a) to show that 1 dx 1+x is divergent.

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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39. (a) Show that 1 1 > 0 2x V1 + x2 for x > 1. (b) Use your result in (a) to show that dx V1+x2 J1 is divergent.
Transcribed Image Text:39. (a) Show that 1 1 > 0 2x V1 + x2 for x > 1. (b) Use your result in (a) to show that dx V1+x2 J1 is divergent.
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