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Limit of a Sequence, Convergence and Divergence Of Sequence Video Lecture - Mechanical Engineering
FAQs on Limit of a Sequence, Convergence and Divergence Of Sequence Video Lecture - Mechanical Engineering
| 1. What is the limit of a sequence? |  |
Ans. The limit of a sequence is the value that the terms of the sequence get closer to as the sequence progresses infinitely.
| 2. How do you determine if a sequence converges? | |
Ans. A sequence converges if the terms of the sequence get arbitrarily close to a single fixed value as the sequence progresses infinitely.
| 3. What does it mean for a sequence to diverge? | |
Ans. A sequence diverges if the terms of the sequence do not approach a single fixed value as the sequence progresses infinitely.
| 4. How can you prove that a sequence converges to a certain value? | |
Ans. One common method to prove convergence is to show that for any small positive number ε, there exists a point in the sequence after which all terms are within ε distance of the proposed limit.
| 5. Can a sequence have more than one limit? | |
Ans. No, a sequence can only have one limit. If a sequence has multiple limits, then it does not converge.
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Dec 02, 2024 Last updated |
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