Problem 0.1 Test the following series for convergence or divergence. Decide for yourself which test is easiest to use, but don't forget the preliminary test. Subparts (1) Σ. n=1 n-1 (n + 2)(n + 3) (6) n=1 5n

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Problem 0.1
Test the following series for convergence
or divergence. Decide for yourself which test is easiest to use, but don't forget
the preliminary test.
Subparts: (1)
G A & B C
8T8TATTA
n=1
n=
n − 1
(n + 2)(n + 3)
1
mìn3
n2
n + 4
(n!)²
(2n)!
(2n)!
L3n(n!)
n=1
(8)
(10)
TATATIT
n=
n=1
n=1
n
(n² + 4)³/2
(−1)"n!
10n
2 + (−1)n
n2 +7
(−1)n
2ìnn
Transcribed Image Text:Problem 0.1 Test the following series for convergence or divergence. Decide for yourself which test is easiest to use, but don't forget the preliminary test. Subparts: (1) G A & B C 8T8TATTA n=1 n= n − 1 (n + 2)(n + 3) 1 mìn3 n2 n + 4 (n!)² (2n)! (2n)! L3n(n!) n=1 (8) (10) TATATIT n= n=1 n=1 n (n² + 4)³/2 (−1)"n! 10n 2 + (−1)n n2 +7 (−1)n 2ìnn
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