For each of the following series, indicate whether the series converges or diverges. Enter D if the series diverges, and enter C if the series converges. (−1)n (n¹⁰ + 1) en 1. Σ n=1 82. Σ n=2 ∞ 2 3.Σ (-1)" (n¹ + 2n) n³ - 1 (-1)" cos(n) n²

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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For each of the following series, indicate whether the series converges or diverges. Enter D if the series
diverges, and enter C if the series converges.
∞
10
1.
(−1)” (n¹0⁰ + 1)
en
A
2.
3.
4.
5.
6.
n=1
∞
n=2
∞
n=1
∞
n=
∞
n=1
(-1)" (n² + 2n)
N³
1
(-1)" cos(n)
n²
(-1)"
n5
(-1) (n³+1)
n² + 1
(-1)" (n³+1)
n³ +7
Transcribed Image Text:For each of the following series, indicate whether the series converges or diverges. Enter D if the series diverges, and enter C if the series converges. ∞ 10 1. (−1)” (n¹0⁰ + 1) en A 2. 3. 4. 5. 6. n=1 ∞ n=2 ∞ n=1 ∞ n= ∞ n=1 (-1)" (n² + 2n) N³ 1 (-1)" cos(n) n² (-1)" n5 (-1) (n³+1) n² + 1 (-1)" (n³+1) n³ +7
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