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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
3 Jan 2022

Given information

Given: The length of the ellipse is where .

To express:  as a series in powers of the eccentricity up to the term in .

Step-by-step explanation

Step 1.
Write the binomial Maclaurin series.
Note: use any variable as the second term of the binomial and any other variable to represent the exponent.
 
Substitute in the above equation.
 

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