n² +1 (b) +1 n=1 (c) n3 5" n=1 (-1)" Vn +1 (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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b, c and d only 

topic: Sequence and Series

Determine whether each of the following series is convergent or divergent using the appropriate test
for convergence/divergence.
(a)
n3 + 1
cos 3n
(8) E
1+ (1.2)"
n2 +1
(b)
n2n
(h) E
(1+ 2n²)"
n³ + 1
(2n – 1)
5"n!
(c)
1.3.5·
.....
5"
(i)
n=1
(d) (-1)"
Vn +1
(j) 5 (-5)2n
(i)
n29n
n=1
n=1
(e)
n/Inn
( 8) Σ-1-1,
n=2
n+1
n=1
(f) In
Vn +1 – Vn – I
3n +1
(1)
n=1
n=1
Transcribed Image Text:Determine whether each of the following series is convergent or divergent using the appropriate test for convergence/divergence. (a) n3 + 1 cos 3n (8) E 1+ (1.2)" n2 +1 (b) n2n (h) E (1+ 2n²)" n³ + 1 (2n – 1) 5"n! (c) 1.3.5· ..... 5" (i) n=1 (d) (-1)" Vn +1 (j) 5 (-5)2n (i) n29n n=1 n=1 (e) n/Inn ( 8) Σ-1-1, n=2 n+1 n=1 (f) In Vn +1 – Vn – I 3n +1 (1) n=1 n=1
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