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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 7E
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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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