True-False Quiz: Question 9: Misuse of the Comparison Test

In this video I show that if a series has all its terms less than the corresponding terms of a divergent series, then the series may or may not diverge. This question is just a misinterpretation of the Comparison Test, which should instead state that if a series has terms greater than those of a Divergent series, than that series also diverges. Having terms less than a divergent series is not enough information to state that series converges or diverges, thus the answer is False.

Time stamps:

- Question 9: 0:00
- Solution: False: 0:20
- Misuse of the Comparison Test: 0:46

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

Related Videos:

Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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