Find the sum of the series Solution The general term ak 6k-2 4k+1 Decompose the fraction, then a s = lim Sk k 00 k 4k = A- + B k+1 4k+1 The k-th partial sum of the series Sk = a₁ + a₂+...+ak with A= Then, our series here converges and has the sum S. B= (Fill in the blank with the reduced answer).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the sum of the series
Solution
The general term ak
6k-2
4k+1
k
Decompose the fraction, then ak = A-
4k
s = lim Sk
k 00
+ B
k+1
4k+1
The k-th partial sum of the series Sk = a₁ + a₂+...+ak
with A=
Then, our series here converges and has the sum S.
B=
(Fill in the blank with the reduced answer).
Transcribed Image Text:Find the sum of the series Solution The general term ak 6k-2 4k+1 k Decompose the fraction, then ak = A- 4k s = lim Sk k 00 + B k+1 4k+1 The k-th partial sum of the series Sk = a₁ + a₂+...+ak with A= Then, our series here converges and has the sum S. B= (Fill in the blank with the reduced answer).
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