Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
+∞o
Letan be a series such that Sk = a₁ + a₂ +
+ak =
2k
k+2'
for k € {1,2,3,...}. Identify and
n=1
justify whether each of the following series converges or diverges. If convergent, find the sum.
+∞o
(2) Σ
an
n=1
+∞o Sn
(b)
n²
n=1
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Transcribed Image Text:+∞o Letan be a series such that Sk = a₁ + a₂ + +ak = 2k k+2' for k € {1,2,3,...}. Identify and n=1 justify whether each of the following series converges or diverges. If convergent, find the sum. +∞o (2) Σ an n=1 +∞o Sn (b) n² n=1
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