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Which of the following is a characteristic of a converging series? (2023)

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Question: Which of the following is a characteristic of a converging series? (2023)

Options:

  1. It approaches a finite limit
  2. It diverges to infinity
  3. It oscillates indefinitely
  4. It has no limit

Correct Answer: It approaches a finite limit

Exam Year: 2023

Solution: 

A converging series approaches a finite limit as more terms are added.

Which of the following is a characteristic of a converging series? (2023)

Practice Questions

Q1
Which of the following is a characteristic of a converging series? (2023)
  1. It approaches a finite limit
  2. It diverges to infinity
  3. It oscillates indefinitely
  4. It has no limit

Questions & Step-by-Step Solutions

Which of the following is a characteristic of a converging series? (2023)
  • Step 1: Understand what a series is. A series is the sum of the terms of a sequence.
  • Step 2: Know that a converging series means that as you add more and more terms, the total sum gets closer to a specific number.
  • Step 3: Recognize that this specific number is called a 'finite limit'.
  • Step 4: Remember that if a series does not approach a specific number, it is called a diverging series.
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