2 + (-1)" 3+(-1)" O.1.1.3 1- 33.5 3-5 - 7 ,1-3-5 --- (2n – 1) - +(-1) 3.5.7- (2n + 1 3-5 E(-1)" sin

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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2. Which of the following series converge conditionally?
E(-1)- 2+(-1)"
3+ (-1)"
O 1, 1.3
1-3-5 --- (2n – 1)
+(-1
3 - 5 - 7 -- (2n + 1)
1.3.5
--+
3' 3.5
+..
3.5-7
E(-1)" sin
n+
n=1
E(-1)" In "
n+1
cos
(2n)!
1.3-5 ..- (2n – 1)
E(-1)"ne
El-1)".
Vn(n+2)
1
E(-1)"n² tan
n=1
Transcribed Image Text:2. Which of the following series converge conditionally? E(-1)- 2+(-1)" 3+ (-1)" O 1, 1.3 1-3-5 --- (2n – 1) +(-1 3 - 5 - 7 -- (2n + 1) 1.3.5 --+ 3' 3.5 +.. 3.5-7 E(-1)" sin n+ n=1 E(-1)" In " n+1 cos (2n)! 1.3-5 ..- (2n – 1) E(-1)"ne El-1)". Vn(n+2) 1 E(-1)"n² tan n=1
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