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 a power series representation for the function. f(x)=1/(5+x)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given,
![1
f (x)=
5+x
1
We know that, Power series of
1-u
0=u](https://content.bartleby.com/qna-images/answer/ef0867ae-1da3-455c-be49-09b819c5d4e0/7a6accb3-9d72-461d-9001-f87250db4ec3/est039i.png)
Step 2
Now,
![1
f (x)
5+x
(1+5/
1
--r
- ΣΕ (-
n
1-( )
2
3
5
5.
5.
2
52
53
54
Ln
Ln
HLn](https://content.bartleby.com/qna-images/answer/ef0867ae-1da3-455c-be49-09b819c5d4e0/7a6accb3-9d72-461d-9001-f87250db4ec3/kk21ktt.png)
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