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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
8 Nov 2021

Given information

Given infinite series 

Need to evaluate whether given series is convergent or divergent.

Step-by-step explanation

Step 1.

Simplify 

   

Proceed with the sequence by putting the value of  

   

Observe that the above series is a geometric series.

Observe also the value of the common ration  

Therefore analyze that is divergent

Noted that  is convergent only for , or for   the geometric series is divergent  

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