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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Question
![Find the first four nonzero terms of the Taylor series for the function
f(x) = /3
centered at a = 1.
(x – 1)ª + (r – 1)*
1+
(x - 1) +
1
1+
10
27
1+(x – 1) –
:- 1)2 +
(r – 1)3
10
1+
(x +1) - =(x + 1)2 +
(x +1)3
27
-(x +1) –
5
(r +1)3
1+
(x + 1)2 +
(x + 1)² –( +1
+ 1) –
1)3
81
5
73
81
3"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3beecc9a-d98e-492b-a9db-81751e87217d%2F6ec24bcf-bc79-40c4-a0a2-75cd544bb53b%2F09dpn1h_processed.png&w=3840&q=75)
Transcribed Image Text:Find the first four nonzero terms of the Taylor series for the function
f(x) = /3
centered at a = 1.
(x – 1)ª + (r – 1)*
1+
(x - 1) +
1
1+
10
27
1+(x – 1) –
:- 1)2 +
(r – 1)3
10
1+
(x +1) - =(x + 1)2 +
(x +1)3
27
-(x +1) –
5
(r +1)3
1+
(x + 1)2 +
(x + 1)² –( +1
+ 1) –
1)3
81
5
73
81
3"
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