8 (iv) [(-1) n=1 n :)" sin n n+1 [ Select] [Select] is conditionally convergent is divergent. is absolutely convergent. > D

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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Slect Either each of one is (A)Conditionally Convergent (B) Divergent (C) Is absolutely Convergent Please let me know all
(iv) [(-1)"
n=1
7)
sin n
n+1
n
[ Select]
[Select]
is conditionally convergent
is divergent.
is absolutely convergent.
Transcribed Image Text:(iv) [(-1)" n=1 7) sin n n+1 n [ Select] [Select] is conditionally convergent is divergent. is absolutely convergent.
Check if the following series are absolutely convergent, conditionally convergent, or divergent.
3" (n!)²
(2n)!
8
(1)(-1)"
n=1
(ii) (-1)".
[Select]
(v)
(v)
(iv)
n=1
[Select]
(iii) (-1)"
80
71-1
[Select]
n=1
[Select]
00
n=1
(-1)"
[Select]
n=2
(Inn)5 + 3n+ 1
In n5+n+2
[Select]
n²+5n+3
n³ + 3n+1
n² + 5n + 3
n³+3n+1
sin n
n+1
1
n(Inn)²
72
Transcribed Image Text:Check if the following series are absolutely convergent, conditionally convergent, or divergent. 3" (n!)² (2n)! 8 (1)(-1)" n=1 (ii) (-1)". [Select] (v) (v) (iv) n=1 [Select] (iii) (-1)" 80 71-1 [Select] n=1 [Select] 00 n=1 (-1)" [Select] n=2 (Inn)5 + 3n+ 1 In n5+n+2 [Select] n²+5n+3 n³ + 3n+1 n² + 5n + 3 n³+3n+1 sin n n+1 1 n(Inn)² 72
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