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
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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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