True-False Quiz Question 1: Series May or May NOT Converge if Limit of Terms = 0
In this video I go over the first question of the True-False Quiz from my Calculus Book on infinite sequence and series, and show a series may or may not converge if the limit of the terms go to zero. Thus Question 1 is false. An example is the Harmonic series is a divergent p-series whose limit of the terms approach zero but the sum diverges to infinite. Note that the reverse is actually true, that is, if a series is convergent then the limit of the terms must approach zero.
Timestamps:
- Question 1: 0:00
- Solution: False: 0:42
- Note: Harmonic series is a divergent p-series: 1:47
This video was taken from my earlier video listed 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 .
------------------------------------------------------
Become a MES Super Fan! https://www.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: https://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
-
44:19
Math Easy Solutions
19 days ago $0.22 earnedOrganic Compounds: Nucleotides, DNA, RNA, ATP
211 -
1:15:38
Steve-O's Wild Ride! Podcast
2 days ago $0.22 earnedG Eazy Opens Up About Falling Off - Wild Ride #217
2.24K3 -
18:44
We Profit with Stock Curry
6 days agoUltimate Advice for Teens & Young Adults
2.19K7 -
LIVE
Lofi Girl
1 year agoSynthwave Radio 🌌 - beats to chill/game to
756 watching -
21:00
Mr. Build It
23 days ago3 Ways to Build Garden Beds
6.06K10 -
1:42:14
Jewels Jones Live
1 day agoDETRANS w/ special guest Mary Margaret Olohan | A Political Rendezvous - Ep. 78
13.7K16 -
1:36:46
Roseanne Barr
1 day ago $73.82 earnedFor Love of Country with Tulsi Gabbard | The Roseanne Barr Podcast #50
132K370 -
6:28:15
CHiLi XDD
9 hours ago[D2] Onslaught Grind w/ Some PvP before Final Shape
28.5K9 -
2:45
Chicks in the Office
7 hours agoHolly Madison Talks Reconciliation with Kendra Wilkinson
40.7K30 -
LIVE
Di bear
9 hours agoFinal Season Mission, Pantheon | Destiny 2
465 watching