True-False Quiz Question 17: Absolutely Convergent Series is Convergent

▶️ Watch on 3Speak

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:
  • 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

    ▶️ 3Speak

    math calculus science stemgeeks stemsocial palnet proofofbrain chessbrothers stem education mathematics
    115
    0
    57.430 STEM
    1 comments