(1–7z)3, where |æ|

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 18E
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Find the Maclaurin series of:

(1–7z)3, where |æ|
Transcribed Image Text:(1–7z)3, where |æ|
Expert Solution
Step 1

To find the Maclaurin series of the below rational expression.

Calculus homework question answer, step 1, image 1

Step 2

From the infinite geometric series relation, we have the below relation

Calculus homework question answer, step 2, image 1

Step 3

Now replace r by x and a by 1 we get

Calculus homework question answer, step 3, image 1

Step 4

Differentiate both sides with respect to x

Calculus homework question answer, step 4, image 1

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