of the following series are convergent? +00 cos(n + 1)x 3"n! 6) E Cos nx a) Σ n n=1 n=1 +oo n2 c) E (2+1/n)n' n=1 1 d) n(In n)P n=2

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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Which of the following series are convergent?
+oo
cos nx – cos(n + 1)x
+00
3" n!
a)
b)
.
n
n=1
n=1
n2
c) E
(2+1/n)"'
n=1
+00
1
d) E
n(ln n)P
n=2
e) E
evni
n=1
+oo
n!
f)
n=1
Transcribed Image Text:Which of the following series are convergent? +oo cos nx – cos(n + 1)x +00 3" n! a) b) . n n=1 n=1 n2 c) E (2+1/n)"' n=1 +00 1 d) E n(ln n)P n=2 e) E evni n=1 +oo n! f) n=1
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