Simple Guide to Series Convergence Tests

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  • เผยแพร่เมื่อ 3 ม.ค. 2025

ความคิดเห็น • 66

  • @MuPrimeMath
    @MuPrimeMath  5 ปีที่แล้ว +94

    There are two other common convergence tests that I didn't include in this video:
    1. Root test - use when everything is raised to the power of n
    2. Absolute convergence test - use when dealing with series that go from positive to negative but don't alternate, such as Σsin(n)/n².

  • @jameshenner5831
    @jameshenner5831 4 ปีที่แล้ว +122

    This is a great video for Calc 2 students.

    • @abeimnida
      @abeimnida 2 ปีที่แล้ว +9

      man this is calc 1 for me like what the helll....

  • @jackfuller1348
    @jackfuller1348 2 ปีที่แล้ว +45

    This is incredible! What a great way to organize things. This is far better than watching hours of other videos. It's definitely gonna help on the AP Calc test. Thanks!

  • @violintegral
    @violintegral 3 ปีที่แล้ว +19

    Thank you for leaving a couple seconds of the whiteboard alone up at the end. I like to take screenshots so I can use them to review before tests, and you make it easier!

    • @violintegral
      @violintegral 3 ปีที่แล้ว +3

      And now I'm rewatching this video because I have a test on Sequences and Series today. Wish me luck!

  • @rakshitabholah4860
    @rakshitabholah4860 3 ปีที่แล้ว +16

    FINALLY!!! I've understood which series test to use. This video is very helpful. Thx a lot mate.

  • @fredross2327
    @fredross2327 3 ปีที่แล้ว +14

    I think I just found a gold mine of helpful videos! Thank you!!

  • @Jarlenewestney
    @Jarlenewestney 9 หลายเดือนก่อน +2

    This was super helpful thank you so much! I hope you have a great day and bright future!

  • @mountaingreek747
    @mountaingreek747 26 วันที่ผ่านมา +2

    Goat teacher

  • @Mike-ks6qu
    @Mike-ks6qu 2 ปีที่แล้ว +10

    Super helpful, this was the biggest concern for me in calc 2. Will be practicing more and more. Thank you for this!

  • @vincentnguyen9932
    @vincentnguyen9932 3 ปีที่แล้ว +5

    Dude this is actually so helpful, gonna be taking my Calc BC exam next week!

  • @matthewbarrett8626
    @matthewbarrett8626 8 หลายเดือนก่อน +28

    Isn't the internet just awesome?

  • @azizkash286
    @azizkash286 2 ปีที่แล้ว +1

    I cant believe this video is free. Thank you brother...

  • @joyc.8034
    @joyc.8034 2 หลายเดือนก่อน +2

    I am glad that I found this video before test

  • @macieriley9661
    @macieriley9661 8 หลายเดือนก่อน +1

    very much struggling to hang on on this last leg of BC calc. This was a very useful video for me, thank you so much!

  • @VibingMath
    @VibingMath 5 ปีที่แล้ว +11

    Very organized for different kinds of est! Good job!

  • @evelinmejia9447
    @evelinmejia9447 ปีที่แล้ว

    so grateful!!! Honestly I know each individual test but I was having a hard time understanding when to use what and this video made everything finally click!!!

  • @oxfordnoi5609
    @oxfordnoi5609 2 ปีที่แล้ว +2

    Bro that was super useful!! I just had a test, and last minute came across...really made the deciding process much much easier. Could you please extend it to include series in terms of trignometric and logarithmic functions?!

  • @ashifaalamshaik1593
    @ashifaalamshaik1593 หลายเดือนก่อน +1

    This just helped me a lot,,,and I'm just watching this 1 hour before exam😅,,, thank you for this clear video explanation,,,,🙏👍....

    • @mirasadek5805
      @mirasadek5805 หลายเดือนก่อน

      So how did you do? I’m currently cramming before my exam too😂😂

  • @royalwalks
    @royalwalks 5 ปีที่แล้ว +6

    Wild. I just learned this in calc 2 today!

  • @BowenLi-vv2tp
    @BowenLi-vv2tp หลายเดือนก่อน

    Such a good summary, thank you so much!

  • @ilyavolkov2556
    @ilyavolkov2556 5 หลายเดือนก่อน +2

    I wish I found this video before my midterm.... I got it for my finals though 😃

  • @sahelll12
    @sahelll12 6 หลายเดือนก่อน +1

    English is not my first language but bro was amazing

  • @akanfahishmael8574
    @akanfahishmael8574 ปีที่แล้ว +4

    I never comment on videos i watch but…👏👏

  • @joey_dawalibi
    @joey_dawalibi 3 ปีที่แล้ว +2

    It really helped me understand thankss!!

  • @pledab
    @pledab 2 ปีที่แล้ว +1

    This is so helpful!! I have my Ma1a placements next week 😅😅😅😅😅

  • @njuk76g87
    @njuk76g87 3 ปีที่แล้ว +1

    Great job in the little minutes 🌸 tankss

  • @neilsundrani1964
    @neilsundrani1964 8 หลายเดือนก่อน +1

    bro might be the calc goat

  • @ghizlaane7
    @ghizlaane7 5 ปีที่แล้ว +3

    Thank you ! Keep working! ✊

  • @samisiddiqi5411
    @samisiddiqi5411 3 ปีที่แล้ว +1

    Honestly thank you.

  • @user-tinkers
    @user-tinkers 5 หลายเดือนก่อน +1

    amazing!!!

  • @brownavatar8
    @brownavatar8 9 หลายเดือนก่อน +1

    Thank you for thiiiiissss!!!!

  • @ashstunes6642
    @ashstunes6642 3 ปีที่แล้ว +1

    Bro you are actually amazing, I have my BC Calc test tmrw and this is such a great sum up!

  • @aheedatif6326
    @aheedatif6326 ปีที่แล้ว +1

    My calc 2 professor barely helps me out and only helps me when i understand the material. Why does she have that job if she isnt going to help her students and the class isnt even engaging at all
    On a side note, you just explain it so better. You would make a great calc 2 professor

  • @alwysrite
    @alwysrite 5 ปีที่แล้ว +2

    excellent video

  • @ZeqohBeatbox
    @ZeqohBeatbox 5 ปีที่แล้ว +3

    that was pretty constructive !

  • @meli30156
    @meli30156 7 หลายเดือนก่อน +1

    You're so amazing i love you

  • @lisi4502
    @lisi4502 3 ปีที่แล้ว +2

    Can you please record a video on solving more equations

  • @hamidbennani1983
    @hamidbennani1983 5 ปีที่แล้ว +2

    Cool job

  • @matron9936
    @matron9936 5 ปีที่แล้ว +2

    Nice Video!

  • @wolfsschanze7061
    @wolfsschanze7061 5 ปีที่แล้ว +3

    Dumb question, the telescoping, cauchy and the rest are included in the basic category?

    • @MuPrimeMath
      @MuPrimeMath  5 ปีที่แล้ว +5

      Telescoping is usually a method to find the exact value of a series rather than showing that it converges, so that's why I left it out.
      There are a few methods that I didn't mention which might have their own categories. My goal for this video was just to help students for a convergence test exam!

    • @wolfsschanze7061
      @wolfsschanze7061 5 ปีที่แล้ว +2

      @@MuPrimeMath well done. Thank you.

  • @mitchellemavesere7563
    @mitchellemavesere7563 2 ปีที่แล้ว +1

    Thank you 😊

  • @benjaminbrat3922
    @benjaminbrat3922 5 ปีที่แล้ว +3

    A bit of nitpicking, I think your tongue slipped at 13:06, it is a horizontal asymptote (but if someone is interested in series, that's something he/she already knows, maybe?)
    But a very nice video! I like your classification a lot!

    • @MuPrimeMath
      @MuPrimeMath  5 ปีที่แล้ว +1

      Yes, that is a horizontal asymptote!

  • @khalilelazri4538
    @khalilelazri4538 4 ปีที่แล้ว +2

    your so awesome bro tnx for teaching us
    #maths is awesome

  • @defrom7147
    @defrom7147 2 ปีที่แล้ว +1

    For the third one:
    ne^(-n^2)=o(1/n^2)

  • @shankarbatar6574
    @shankarbatar6574 3 ปีที่แล้ว +1

    very nyc explaination

  • @SabrinaXe
    @SabrinaXe 2 ปีที่แล้ว +1

    11:03 13:30

  • @sumittete2804
    @sumittete2804 ปีที่แล้ว +1

    Sir could please prove that the series (sin n)/n is not an absolutely convergence??

  • @joserenteria5899
    @joserenteria5899 10 หลายเดือนก่อน +1

    Hey im from Oregon too

  • @linasourourdiabi1404
    @linasourourdiabi1404 4 ปีที่แล้ว +3

    Thank you so much for the video, i have something i couldn't get in the weird serie of n2*3n/n! in the 9:10 minute, when i calculate the limit i found it 6, so it is supposed to be divergent, and i don't know what i exactly did wrong, can you please explain why is it convergent ?

    • @shoubhitravi1092
      @shoubhitravi1092 3 ปีที่แล้ว +2

      If you do the ratio test on that series, you should find that the ratio between consecutive terms approaches 0 as n approaches infinity. By the ratio test, this means the original series converges because r < 1.

  • @GalacticAdventures69
    @GalacticAdventures69 3 ปีที่แล้ว +1

    thx bro

  • @jamdior12
    @jamdior12 2 ปีที่แล้ว +1

    insanely helpful, thank you so much!!!!!!!

  • @bigfatpandalaktana2747
    @bigfatpandalaktana2747 3 ปีที่แล้ว +1

    Ok, but how do I make all of this look rigorous enough to make my professor say "ok he did enough"?

  • @JessyP-u6q
    @JessyP-u6q 7 หลายเดือนก่อน +1

    Not visible

  • @spencergillen1487
    @spencergillen1487 3 ปีที่แล้ว +3

    Anyone else feel bad cuz it’s hard to write on the whiteboard as a leftie

  • @foobarAlgorithm
    @foobarAlgorithm ปีที่แล้ว +2

    Dude, have you thought about bulking? you have a solid frame, you’d be muscular giga math chad if you think about it. You’d end up converging everything in life, please leave some for the rest of us.

  • @jasminefitzsimons896
    @jasminefitzsimons896 2 ปีที่แล้ว +1

    ANGEL

  • @jayvondied5385
    @jayvondied5385 8 หลายเดือนก่อน +1

    heres something that doesn't fit the ratio test example... (10^n)/10n

  • @spiralations7304
    @spiralations7304 2 ปีที่แล้ว +1

    I'm in pre calc I shouldn't have to do this shit