Find examples of two series sigma an and sigma bn both of whichdiverge but for which sigma min{an, bn} converges. To make it more challenging, produce examples where (an) and (bn) are strictly positive and decreasing.
Find examples of two series sigma an and sigma bn both of whichdiverge but for which sigma min{an, bn} converges. To make it more challenging, produce examples where (an) and (bn) are strictly positive and decreasing.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Find examples of two series sigma an and sigma bn both of which
diverge but for which sigma min{an, bn} converges. To make it more challenging, produce examples where (an) and (bn) are strictly positive and decreasing.
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