Use the Cauchy Criterion for Series directly to prove that the following series converges. Hint: By partial fractions, IM8 1 (2j-1) (2j + 1) 1 (2m - 1) (2m + 1) 0.5 (2m - 1) 0.5 (2m + 1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Real Analysis 2
Use the Cauchy Criterion for Series directly to prove that the
following series converges.
Hint: By partial fractions,
M8
j=1
1
(2j-1) (2j+1)
1
(2m - 1) (2m + 1)
0.5
(2m - 1)
0.5
(2m + 1)
Transcribed Image Text:Use the Cauchy Criterion for Series directly to prove that the following series converges. Hint: By partial fractions, M8 j=1 1 (2j-1) (2j+1) 1 (2m - 1) (2m + 1) 0.5 (2m - 1) 0.5 (2m + 1)
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