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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
1 Dec 2021

Given information

Given three series:

(i)   

(ii)   

(iii)  

Step-by-step explanation

Step 1.
In general, a geometric series given as,   is said to be convergent if  .
 
 
And the sum is given by 
 

The sum of geometric series, is given as:

 

 

The derivative of the series is given as:

 

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