Consider the telescoping series (a) Find the partial sum Sn 2 Σ(11) +2 r+1 = + Σ(21) r + +1
Consider the telescoping series (a) Find the partial sum Sn 2 Σ(11) +2 r+1 = + Σ(21) r + +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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Question
Transcribed Image Text:Question 4
Consider the telescoping series
(a) Find the partial sum Sn
2
Σ(17)
+2 r+1
r=1
+
n
1
=
2 (2+)
r+2
r+
r=1
Transcribed Image Text:2 (2+1)
r+2
r=1
(b) Hence or otherwise show that the series
converges and find its sum.
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