True-False Quiz Question 17: Absolutely Convergent Series is Convergent
In this video I show that if a series is convergent, then an alternating series version of it also converges because that would be absolutely convergent. Adding (-1)^n to a series makes it alternate between positive and negative terms. An absolutely convergent series is also just normally convergent. This is because the terms approach zero regardless if they are positive or negative. Thus the answer to the question is True.
Time stamps:
- Question 17: 0:00
- Solution: True: 0:23
- Absolutely convergent series is also convergent: 0:48
Full video below:
- Infinite Sequences and Series: Review and True-False Quiz:
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: [email protected]
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
▶️ 3Speak
- Infinite Sequences and Series: Review and True-False Quiz: