A. The series is absolutely convergent. C. The series converges, but is not absolutely converge The series diverges. D. ][ 1. (n + 5)n 5n n= (n + 5)" 2.Σ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Match each of the following with the correct statement.

I tried using the ratio, comparison, and root tests, but after a couple of attempts, I still could not get them.

Please explain what kind of formula and method I should use to answer this question. Thank you!

A. The series is absolutely convergent.
C. The series converges, but is not absolutely convergent.
D. The series diverges.
100000
1.2 (n + 5)
5″
WELTROLIFE
2.Σ
3.
4.
Σ
6.
(−1)¹+1 (2+n)5¹
(n²)4²n
5. Σ(-1)"n 21n(n + 5)
π=1
(n + 5)”
572
nt
4 – 6η3
∞0
Σ
π=1
5)"
(-4n)"
nªn
Transcribed Image Text:A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent. D. The series diverges. 100000 1.2 (n + 5) 5″ WELTROLIFE 2.Σ 3. 4. Σ 6. (−1)¹+1 (2+n)5¹ (n²)4²n 5. Σ(-1)"n 21n(n + 5) π=1 (n + 5)” 572 nt 4 – 6η3 ∞0 Σ π=1 5)" (-4n)" nªn
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