1. Determine if the following sequences converges or diverge. If the the sequence converge determine its limit. a) 3n²-1 (10n+Sn² 8-1 c) d) (7n²-10n-7) (8n-7n²+5) n=1 B 8

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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Group-Assignment -I
(Target group G-2 Civil Engineering Students)
1. Determine if the following sequences converges or diverge. If the the sequence converge
determine its limit.
a)
b)
c)
a)
d)
b)
Jn=1
(3n²-1
(10n+5n²
d) (sin(n))
2. Determine whether the following whether the following series converges
k=1
2
2 (2k):)
+
k+1
3k
1
n(In n)*
k!
Rift Valley University
Lebu-Lafto Campus
√√n+1-√√n
Department of Civil Engineering
Applied Mathematics - II
n
1
e)
f)
g)
h)
n=1
c)
1) Σ
n=1
(7n²-10n-7)
(8n³-7n²+5),
5)n=1
cos
n
nII
2
n +1
sin(n)
n
n=1 n
n!
n=1
(-10)
14²+¹(n+1)
Transcribed Image Text:Group-Assignment -I (Target group G-2 Civil Engineering Students) 1. Determine if the following sequences converges or diverge. If the the sequence converge determine its limit. a) b) c) a) d) b) Jn=1 (3n²-1 (10n+5n² d) (sin(n)) 2. Determine whether the following whether the following series converges k=1 2 2 (2k):) + k+1 3k 1 n(In n)* k! Rift Valley University Lebu-Lafto Campus √√n+1-√√n Department of Civil Engineering Applied Mathematics - II n 1 e) f) g) h) n=1 c) 1) Σ n=1 (7n²-10n-7) (8n³-7n²+5), 5)n=1 cos n nII 2 n +1 sin(n) n n=1 n n! n=1 (-10) 14²+¹(n+1)
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