Practice Exercises I36. Radius and interval of convergence Determine the radius and 39. interval of comvergence of the following power series. (x- 1) k4 kl 41-46. Combining power seri 00 00 10. Σ(22)4 f(x) 1 k 0 k! r k=O to find the power series 00 00 12. k!(x- 10)* терг (centered at 0). Give the int 11. k 1 Σά)k k 0 1 41. f(3x) = (E) 2 (x - 3) 00 00 1 - 3x 14. 13. sin 2x3 k or x<1 43. h(x) k 2 k=1 1 - x k X 00 00 16. -1) 5k 4x12 45. p(x) = 15. 3 k=0 k 0 1- X (-1) Vk 47-50. Combining 18. m 11.4. 17. k 1 k 1 f(x) (2r) 00 20. 19. 2k +1 to find the power Give the interv k! k=0 k=0 47. f(3x)= rge on + 21. + 1! 2! 49. plx) = rges on (-1)'+*(x - 10)5 3 23. 22. x 4 +.. 16 k es 57, 62 k-1 + 8e inter (x- 1) 10. g power serie Σ2)4 k 0 k! fx) 1 1 to find the power series repre 00 12. Σ(x-10 ). Σά). (centered at 0). Give the inte 11 k=1 k 0 41. f(3x) 2 x-3) 1 k 14. k 1 -3x 13. sin < 1 k k 2 k 1 2x 43. h(x)= k X CO 1-x 16. 2-1) www 15 4x12 45. p(x) k 0 k-0 1 - X (-1) 00 18. .4. 47-50. Combining p 17. Vk k 1 k=1 f(x) = (2x) 00 20. 19 2 1 k! k=0 to find the power k-0 Give the interval +8 + 4! 4 + 21. . 47. f(3x) l 2! 3! 1! on 49. p(x)= 2 (-1)*= D 23. J 22. x - +... 16 + , 62 4 9 k=1
Practice Exercises I36. Radius and interval of convergence Determine the radius and 39. interval of comvergence of the following power series. (x- 1) k4 kl 41-46. Combining power seri 00 00 10. Σ(22)4 f(x) 1 k 0 k! r k=O to find the power series 00 00 12. k!(x- 10)* терг (centered at 0). Give the int 11. k 1 Σά)k k 0 1 41. f(3x) = (E) 2 (x - 3) 00 00 1 - 3x 14. 13. sin 2x3 k or x<1 43. h(x) k 2 k=1 1 - x k X 00 00 16. -1) 5k 4x12 45. p(x) = 15. 3 k=0 k 0 1- X (-1) Vk 47-50. Combining 18. m 11.4. 17. k 1 k 1 f(x) (2r) 00 20. 19. 2k +1 to find the power Give the interv k! k=0 k=0 47. f(3x)= rge on + 21. + 1! 2! 49. plx) = rges on (-1)'+*(x - 10)5 3 23. 22. x 4 +.. 16 k es 57, 62 k-1 + 8e inter (x- 1) 10. g power serie Σ2)4 k 0 k! fx) 1 1 to find the power series repre 00 12. Σ(x-10 ). Σά). (centered at 0). Give the inte 11 k=1 k 0 41. f(3x) 2 x-3) 1 k 14. k 1 -3x 13. sin < 1 k k 2 k 1 2x 43. h(x)= k X CO 1-x 16. 2-1) www 15 4x12 45. p(x) k 0 k-0 1 - X (-1) 00 18. .4. 47-50. Combining p 17. Vk k 1 k=1 f(x) = (2x) 00 20. 19 2 1 k! k=0 to find the power k-0 Give the interval +8 + 4! 4 + 21. . 47. f(3x) l 2! 3! 1! on 49. p(x)= 2 (-1)*= D 23. J 22. x - +... 16 + , 62 4 9 k=1
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Transcribed Image Text:Practice Exercises
I36. Radius and interval of convergence Determine the radius and
39.
interval of comvergence of the following power series.
(x- 1)
k4
kl
41-46. Combining power seri
00
00
10.
Σ(22)4
f(x)
1
k 0
k!
r
k=O
to find the
power series
00
00
12. k!(x- 10)*
терг
(centered at 0). Give the int
11.
k 1
Σά)k
k 0
1
41. f(3x) =
(E)
2 (x - 3)
00
00
1 - 3x
14.
13. sin
2x3
k
or x<1
43. h(x)
k 2
k=1
1 - x
k
X
00
00
16. -1)
5k
4x12
45. p(x) =
15.
3
k=0
k 0
1- X
(-1)
Vk
47-50. Combining
18.
m 11.4.
17.
k 1
k 1
f(x)
(2r)
00
20.
19.
2k +1
to find the power
Give the interv
k!
k=0
k=0
47. f(3x)=
rge on
+
21.
+
1! 2!
49. plx) =
rges on
(-1)'+*(x - 10)5
3
23.
22. x
4
+..
16
k
es 57, 62
k-1
+
8e
Transcribed Image Text:inter
(x- 1)
10.
g power serie
Σ2)4
k 0
k!
fx)
1
1
to find the power series repre
00
12. Σ(x-10 ).
Σά).
(centered at 0). Give the inte
11
k=1
k 0
41. f(3x)
2 x-3)
1
k
14.
k
1 -3x
13. sin
< 1
k
k 2
k 1
2x
43. h(x)=
k
X
CO
1-x
16. 2-1)
www
15
4x12
45. p(x)
k 0
k-0
1 - X
(-1)
00
18.
.4.
47-50. Combining p
17.
Vk
k 1
k=1
f(x) =
(2x)
00
20.
19
2 1
k!
k=0
to find the power
k-0
Give the interval
+8
+
4!
4
+
21.
.
47. f(3x) l
2!
3!
1!
on
49. p(x)= 2
(-1)*= D
23.
J
22. x -
+...
16
+
, 62
4
9
k=1
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