Use the Cauchy Criterion for Series directly to prove that the following series converges. 8 j=1 1 (2j-1) (2j+1)
Use the Cauchy Criterion for Series directly to prove that the following series converges. 8 j=1 1 (2j-1) (2j+1)
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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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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