Jse the table of frequently used Taylor series to find the sum of the series. x+x2 4 +x' +... Click the icon to view the table of frequently used Taylor series. x+x +x° +x* + ..=

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1
3D1+x+x¯ + ...
1-X
+x + .. =
E x", |x| <1
x' + •
n= 0
1
1-x+x2-.. +(-x)" + .. = (-1)"x",
|x| < 1
2.
0.
eX = 1+x+ -
|x| < o∞
+.
+.
+.
2!
n!
n!
2n+ 1
sin x = X-
3!
(-1)^x2n + 1
|
+(- 1)".
|x| < o
5!
(2n + 1)!
(2n + 1)!
21
4.
2n
+(-1)で2n)
(- 1)"x²n
COS X =
21 41
|x| <c∞
(2n)!
Print
Done
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Transcribed Image Text:1 3D1+x+x¯ + ... 1-X +x + .. = E x", |x| <1 x' + • n= 0 1 1-x+x2-.. +(-x)" + .. = (-1)"x", |x| < 1 2. 0. eX = 1+x+ - |x| < o∞ +. +. +. 2! n! n! 2n+ 1 sin x = X- 3! (-1)^x2n + 1 | +(- 1)". |x| < o 5! (2n + 1)! (2n + 1)! 21 4. 2n +(-1)で2n) (- 1)"x²n COS X = 21 41 |x| <c∞ (2n)! Print Done 15 MacBook Air %3D ****
Jse the table of frequently used Taylor series to find the sum of the series,
3
4.
x +x² +x° +
Click the icon to view the table of frequently used Taylor series.
+x² +x³ +x
4.
X+x
Tutoring
Textbook
Print
15
Transcribed Image Text:Jse the table of frequently used Taylor series to find the sum of the series, 3 4. x +x² +x° + Click the icon to view the table of frequently used Taylor series. +x² +x³ +x 4. X+x Tutoring Textbook Print 15
Expert Solution
Sum of infinite geometric series

Given: S=x+x2+x3+x4+.........

1+x+x2+x3+...........+xn+.....=11-x                                             ..1

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