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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I’m sorry about the quality of the photo I don’t know how to screenshot on my new computer

Transcribed Image Text:1
- = 1+x+x-
00
+x + ...= E x", x| <1
+ ...
1-X
... =
n=0
1
= 1-x+x? - ... + (-x)" +
00
%3D
1+x
E(-1)"x", |x|<1
... =
n= 0
00
ex = 1+x+
2!
|x| < co
+ -
+...=
n!
n= 0
3
x2n + 1
00
sin x = x-
3!
+(- 1)"-
(2n + 1)!
5(-1)"x2n+1
Σ
|x| < 00
+... =
5!
(2n + 1)!
n=0
00
coS X = 1-
+
2!
+(-1)",
(2n)!
(-1)"x²n
Σ
(2n)!
|x| < oo
4!
n= 0
00
In (1 +x) = x-
**(- 1)^-1x"
Σ
(-1)^ -1x"
%3D
+... =
3
- 1<xs1
n
n
n=1
00
- 1
X = X- - +
Σ
2n + 1
(- 1)"x2n + 1
tanx =
+ ... =
*(~リn+
|x| s1
2n + 1
n=0

Transcribed Image Text:Use the table of frequently used Taylor series to find the sum of the series.
1--
42 . 2!
+
+ ...
4* • 4!
4° • 6!
Click the icon to view the table of frequently used Taylor series.
なく
π
1-
42.2!
+... =
44 . 4! 46. 6!
(Type an exact answer, using radicals as needed.)
pさ。
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