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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
30 Nov 2021

Given information

Given a series   has positive terms and its partial sums  satisfy the inequality    for all   .

Step-by-step explanation

Step 1.

It is given that a series  has positive terms.

 

Thus, the sequence of partial sums is a increasing monotonic sequence.

 

Also, it is given that partial sums   satisfy the inequality    for all   .

Thus, the sequence of partial sums, is bounded.  

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