#9, Find the radius of convergence and interval of convergence of the series x"5. 22n00(-1)"x"6. En²n=1n=1x"7. 2n=0 n!2EBIE28.n=1 n3"n?x"9. Σ (-1)" -n=10 2"0010. Σn"χ"n=10011. Σ (-1)" -00x"4" In n12.n=2n=1 5"n500(-3)"13. 2n=1 _n/n2n+14. (-1)"(2n +it.(x – 2)"000015. E(x 316. 2 (-1)" -2n +n? + 1n=0n=000n0017. E (x – a)", b>0b"n18. Σ(x + 1)"n=14"n=1(2x - 1)"0019. E n!(2x – 1)"20. En5"/nn=1n=110021. 21.3 5...00x"(2n – 1)n=1AGL 8CLIG?n²x"0022. E(2n)

Radius and interval of convergence

Answered: 9. E (-1)* "´x" 2" 10. n=1 brex" 11. Σ…

Math

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9. E (-1)* "´x" 2" 10. n=1 brex" 11. Σ (-1)" 4" In n 12. n=2 onul nsa (-3)" 00 13. У

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 24E

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#9, Find the radius of convergence and interval of convergence of the series

x"
5. 2
2n
00
(-1)"x"
6. E
n²
n=1
n=1
x"
7. 2
n=0 n!
2EBIE2
8.
n=1 n3"
n?x"
9. Σ (-1)" -
n=10 2"
00
10. Σn"χ"
n=1
00
11. Σ (-1)" -
00
x"
4" In n
12.
n=2
n=1 5"n5
00
(-3)"
13. 2
n=1 _n/n
2n+
14. (-1)"
(2n +
it.
(x – 2)"
00
00
15. E
(x 3
16. 2 (-1)" -
2n +
n? + 1
n=0
n=0
00
n
00
17. E (x – a)", b>0
b"
n
18. Σ
(x + 1)"
n=1
4"
n=1
(2x - 1)"
00
19. E n!(2x – 1)"
20. E
n5"/n
n=1
n=1
100
21. 2
1.3 5...
00
x"
(2n – 1)
n=1
AGL 8CLIG?
n²x"
00
22. E
(2n)

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