Absolute Convergence vs Conditional Convergence vs Convergence

Поділитися
Вставка
  • Опубліковано 7 жов 2024
  • We've seen regular convergence of a series before, but now we consider two special cases. Absolute convergence is when we take the series of the absolute value of the terms, which gets rid of any possible cancellation like what happened a lot in the Alternating Series Test. Absolute convergence implies regular convergence. Conditional Convergence is when it converges but does not converge absolutely.
    ****************************************************
    YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
    ****************************************************
    ►Full Course Playlist: CALCULUS II: • Calculus II (Integrati...
    ****************************************************
    Other Course Playlists:
    ►CALCULUS I: • Calculus I (Limits, De...
    ►DISCRETE MATH: • Discrete Math (Full Co...
    ►LINEAR ALGEBRA: • Linear Algebra (Full C...
    ***************************************************
    ► Want to learn math effectively? Check out my "Learning Math" Series:
    • 5 Tips To Make Math Pr...
    ►Want some cool math? Check out my "Cool Math" Series:
    • Cool Math Series
    *****************************************************
    ►Check out my 2nd Channel for lower production quality "live" math videos: / @drtreforuvic
    *****************************************************
    ►Follow me on Twitter: / treforbazett
    *****************************************************
    This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.
    BECOME A MEMBER:
    ►Join: / @drtrefor
    MATH BOOKS & MERCH I LOVE:
    ► My Amazon Affiliate Shop: www.amazon.com...

КОМЕНТАРІ • 21

  • @fredrik4362
    @fredrik4362 3 роки тому +24

    This was probably the most perfect explanation found so far.

  • @khamidullokh6056
    @khamidullokh6056 2 роки тому +3

    I don't understand why this channel is not that famous yet like Khan Academy???? Why the views are not escalating?? This is one of the best channels on UA-cam where you can learn and understand clumsy mathematical terminologies! Thank you for such a great content

  • @radixsolo956
    @radixsolo956 5 років тому +7

    Respect! Thank you!!! The best Math teacher in UA-cam. 👍. You must have Million subscribers!!

  • @jimmygore8214
    @jimmygore8214 Рік тому +3

    You have such an amazing way of teaching math in plain english, I found your videos extremely educational!

  • @socrates4730
    @socrates4730 3 роки тому +6

    I have no words to explain how good that was....❤️

  • @vijaysinghchauhan7079
    @vijaysinghchauhan7079 3 роки тому +5

    Visualizing makes it understandable.

  • @joyanbhathena7251
    @joyanbhathena7251 2 роки тому +2

    Amazing videos, learnt so much through this series. Would love it if you could please share some exercise questions

  • @qurankareem6411
    @qurankareem6411 4 роки тому +1

    Thanks sir for give me simple trick to solve my confusion

  • @donnad2789
    @donnad2789 7 місяців тому

    Excellent explanation, thank you!

  • @SimpleLivingHigherThinking
    @SimpleLivingHigherThinking Рік тому

    Thank's a lot for such clear and simple explanation was struggling with this topic 😄😄

  • @schoolmaths6051
    @schoolmaths6051 3 роки тому +1

    Thank you doctor!

  • @Yaman.H1
    @Yaman.H1 3 роки тому +3

    Why the hell is there only 86 likes on this legendary video! while there is 4.5k views!!! Thanks maaan

    • @DrTrefor
      @DrTrefor  3 роки тому +1

      haha right??! Get liking people!

  • @BrandonBrawlStars
    @BrandonBrawlStars Рік тому +1

    great vid

  • @jolandinel8420
    @jolandinel8420 3 роки тому +1

    THANK YOU!!!

  • @henri1_96
    @henri1_96 4 роки тому +1

    well explained :)

  • @khudahafiz478
    @khudahafiz478 2 роки тому +1

    Sir you soooo much sir

  • @ayushbisht6756
    @ayushbisht6756 2 роки тому

    really helped

  • @tokerrrre
    @tokerrrre 8 місяців тому

    you are great :)

  • @KomalPatel-my8ws
    @KomalPatel-my8ws 2 роки тому

    Sir give me an answer is that, following series are absolutely convergent or conditionally convergent or divergent....
    (a)1-(1/1!)+(1/2!)-(1/3!)+.....
    (b)1-(1/3)+(1/5)-(1/7)+.....
    (c)(1/2)-(2/3)+(3/4)-(4/5)+.....
    (d)1-1+(1/2)-(1/2)+(1/3)-(1/3)+....
    (e)1-(1/2)+(1/2)-(1/2²)+(1/3)-(1/2³)+(1/4)-(1/2⁴)+.....