what the absolute convergent, conditionally are divergent ,and divergent series among the following series ? 1 1 1 1) In 2 1 +.... +(-1)"-1 2 In 4 3 In 6 4 In 8 n ln 2n

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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IM
what
are
the absolute
divergent, and divergent series among the
Convergent, conditionally
following series ?
1)
In 2
1
1
1
I
+(-1)"-1
+.
2 In 4
3 In 6
4 In 8
n ln 2n
n( n-1X-2)
2) -1)
3) 1)*
)=1 11+ 2"
1=1
V 11
4)
(-1)"
(n ln n)
n=1 Vnln n
2=1
Transcribed Image Text:IM what are the absolute divergent, and divergent series among the Convergent, conditionally following series ? 1) In 2 1 1 1 I +(-1)"-1 +. 2 In 4 3 In 6 4 In 8 n ln 2n n( n-1X-2) 2) -1) 3) 1)* )=1 11+ 2" 1=1 V 11 4) (-1)" (n ln n) n=1 Vnln n 2=1
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