Math Easy Solutions | True-False Quiz: Question 9: Misuse of the Comparison Test @mes | Uploaded January 2024 | Updated October 2024, 2 hours ago.
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: youtu.be/F0dsQLdXXpI
- HIVE video notes: peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz
- Video sections playlist: youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L
Related Videos:
Infinite Sequences and Series playlist: youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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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: youtu.be/F0dsQLdXXpI
- HIVE video notes: peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz
- Video sections playlist: youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L
Related Videos:
Infinite Sequences and Series playlist: youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
Become a MES Super Fan! youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: peakd.com/@mes
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps