Name: True-False Quiz Question 14: Two Divergent Series Can Form a Convergent Series
Uploaded: 2024-01-30T04:22:20+00:00
Duration: 1 min 19 s
Description: In this video I show that two divergent series can sum up to form a convergent series. A simple example is the sum of the divergent series {n} and {-n}. Both of these infinite series individually dive

3 months ago

317

Science Education math calculus science stem education series divergent convergence quiz

In this video I show that two divergent series can sum up to form a convergent series. A simple example is the sum of the divergent series {n} and {-n}. Both of these infinite series individually diverge to infinity or negative infinity, summing them up involves all terms canceling out and converging to n - n = 0. Thus the answer to the question is False, that is, the sum of 2 divergent series is not necessarily also divergent.

Time stamps:

- Question 14: 0:00
- Solution: False: 0:14
- Example of 2 divergent series summing to form a convergent series: 0:25

Full video below:

- Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L