Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 15E
Related questions
Question
Find the Maclaurin series of:
![(1–7z)3, where |æ|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73d5c005-90a3-445f-a212-af9c00b9cb08%2Fcabd40db-93b2-4ae9-b614-b723d0a225e2%2Fvd0pw4q.png&w=3840&q=75)
Transcribed Image Text:(1–7z)3, where |æ|
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
To find the Maclaurin series of the below rational expression.
Step 2
From the infinite geometric series relation, we have the below relation
Step 3
Now replace r by x and a by 1 we get
Step 4
Differentiate both sides with respect to x
Step by step
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