Intervals of Convergence In Exercises 1–36, (a) find the series' radius and interval of conver- gence. For what values of x does the series converge (b) absolutely, (c) conditionally? 7. 5 nx" n=0n + 2 * (-1)"(x + 2)" 8. E п 9. S " n=1nVn 3" * (x – 1)" 10. E Vn 1. Σ 00 2. E(x + 5)" n=1 n=0 (-1)"x" 12. 3"y" 11. 3. E(-1)"(4x + 1)" 4. § 3x – 2)" п! n=0 n! n=0 п n=1 5. (* – 2y" 10" Σον 13. § 4"x2n * (x - 1)" 14. E n°3" п 6. Σ/23)" n=1 n=1 n=0 n=0 15. § " * (-1)"x"+1 16. n=0 Vn + 3 n=0 Vn + 3

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Intervals of Convergence
In Exercises 1–36, (a) find the series' radius and interval of conver-
gence. For what values of x does the series converge (b) absolutely,
(c) conditionally?
7. 5 nx"
n=0n + 2
* (-1)"(x + 2)"
8. E
п
9. S "
n=1nVn 3"
* (x – 1)"
10. E
Vn
1. Σ
00
2. E(x + 5)"
n=1
n=0
(-1)"x"
12. 3"y"
11.
3. E(-1)"(4x + 1)"
4. § 3x – 2)"
п!
n=0
n!
n=0
п
n=1
5. (* – 2y"
10"
Σον
13. § 4"x2n
* (x - 1)"
14. E
n°3"
п
6. Σ/23)"
n=1
n=1
n=0
n=0
15. § "
* (-1)"x"+1
16.
n=0 Vn + 3
n=0 Vn + 3
Transcribed Image Text:Intervals of Convergence In Exercises 1–36, (a) find the series' radius and interval of conver- gence. For what values of x does the series converge (b) absolutely, (c) conditionally? 7. 5 nx" n=0n + 2 * (-1)"(x + 2)" 8. E п 9. S " n=1nVn 3" * (x – 1)" 10. E Vn 1. Σ 00 2. E(x + 5)" n=1 n=0 (-1)"x" 12. 3"y" 11. 3. E(-1)"(4x + 1)" 4. § 3x – 2)" п! n=0 n! n=0 п n=1 5. (* – 2y" 10" Σον 13. § 4"x2n * (x - 1)" 14. E n°3" п 6. Σ/23)" n=1 n=1 n=0 n=0 15. § " * (-1)"x"+1 16. n=0 Vn + 3 n=0 Vn + 3
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