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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
9 Nov 2021

Given information

Given information is that an alternating series satisfies the convergence conditions

Step-by-step explanation

Step 1.

Let the summation of the alternating equation be and satisfies the condition of convergence 

Therefore, 

 for all   

 

Understand that the remainder that is the error involved in using the partial sum as an approximation to the actual total sum  is given by  

Thus, the remainder after  terms if the condition satisfies then  

 

 

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