Calculus 2: Sequences (Section 11.1) | Math with Professor V

แชร์
ฝัง
  • เผยแพร่เมื่อ 17 ธ.ค. 2024

ความคิดเห็น • 72

  • @HappyKitya
    @HappyKitya หลายเดือนก่อน +1

    20:28 IMPORTANT: reason to why we write SEQUENCE as a function f(x) instead of just applying L'hopitals directly
    24:34 When dealing with a seq, find its common ratio/diff before determining the value of r in r^n
    34:12 Example showing how to determine (a) function is monotonic (b) has upper/lower bound.
    Thus, determining wether it converges or not.

  • @SoniaA-s6q
    @SoniaA-s6q 4 ปีที่แล้ว +38

    Excellent Videos! Very clear explanations, clear handwriting, easy to follow lectures, fun and friendly professor :)

  • @kunasheelansinniah3848
    @kunasheelansinniah3848 3 ปีที่แล้ว +25

    Honestly, I wish you were my Calculus Professor. I have been struggling the whole of last semester taking calculus 1 and this semester taking calculus 2. But the way you teach and explain things with example makes it so much easier to understand and additionally helps me understand what is required in my homework. My learning capabilities have been enhanced by you. I am not sure if you believe in callings but I feel like you were born to do exactly this, to be an extraordinary math professor. Thank you so much. Thank you for helping me, sharing your knowledge/gift and helping us be better at Math. You are truly the best. I hope God will open the heavens for you and pour an unlimited amount of blessings upon you and your parents. (A little too dramatic, but yea. haha I hope you know how thankful and grateful I am for you Professor V! keep it coming!)

    • @mathwithprofessorv
      @mathwithprofessorv  3 ปีที่แล้ว +7

      Thank you so very much for your comment and all the kind things you said--I can't express how much I appreciate it and how much it motivates me to continue. I have always enjoyed helping others learn (and hopefully eventually love) mathematics, and it is my dream to be able to help millions of students around the world with their studies. I am so glad that my videos have been helpful to you, especially during this difficult time of remote learning. I wish you lots of success in the rest of your education and career endeavors! If you have any additional requests for video topics, please let me know! I am working on expanding my library. :)

  • @Johnny-Castle
    @Johnny-Castle 9 หลายเดือนก่อน +2

    I'm 4 minutes into this video and your already teaching me more than my professor.

    • @mathwithprofessorv
      @mathwithprofessorv  9 หลายเดือนก่อน

      Happy to help!!!! ☺️☺️🫶🏻

  • @jalsamuel
    @jalsamuel ปีที่แล้ว +1

    Excellent and useful videos!!!!!!

  • @BinhNguyen-gh3hg
    @BinhNguyen-gh3hg 4 ปีที่แล้ว +3

    super easy to understand! Thank you

    • @mathwithprofessorv
      @mathwithprofessorv  4 ปีที่แล้ว

      You’re welcome! I saw your comment about Calc 3 videos but can’t find it now...anyways I already have it all uploaded, here’s the playlist:
      th-cam.com/play/PLl-Np5U6u5E65pRRuD0mBXM4w4fenJ5gD.html

  • @autumnmorgan8660
    @autumnmorgan8660 3 ปีที่แล้ว +6

    thank you so much, this was so articulate and really cleared things up for me personally. I love your teaching style

    • @mathwithprofessorv
      @mathwithprofessorv  3 ปีที่แล้ว +2

      You are so welcome! Happy to hear my videos are helpful!

  • @mannysanchez1617
    @mannysanchez1617 3 หลายเดือนก่อน +2

    Such a great teacher I get so much help from your videos, thank you!

  • @kushagrasinghal8209
    @kushagrasinghal8209 3 ปีที่แล้ว +2

    this is insane, keep it up

  • @gidionmashiane4079
    @gidionmashiane4079 2 ปีที่แล้ว +1

    Thank you once again, Prof V. I am starting my semester now and remembered just how well you helped me in my other calculus classes, and I was just happy to see that you have videos for every topic on this module I am currently taking :)

    • @mathwithprofessorv
      @mathwithprofessorv  2 ปีที่แล้ว +1

      Oh I’m so happy to hear that! If there are any topics you can’t find on my channel let me know and I can work on recording them. 👍🏻

  • @xilentcadd4340
    @xilentcadd4340 หลายเดือนก่อน

    you use the same material as my calc teacher and it is so helpful having it explained a second time at my own pace and the way you explain how the problems workout is amazing. My calc teacher always tells me to go back and look through my notes when i have questions when the problem is i dont understand the notes and i need them explained a bit simpler.

  • @ablation791
    @ablation791 3 ปีที่แล้ว +1

    Very clear and straightforward. Helped a lot, thank you!

  • @alwff
    @alwff ปีที่แล้ว

    Great lesson! :)

  • @jeremytait5450
    @jeremytait5450 4 ปีที่แล้ว +3

    Thank you for this I just started Calc 2

  • @fardadali4618
    @fardadali4618 3 ปีที่แล้ว

    very good work mam

  • @fakalanis
    @fakalanis หลายเดือนก่อน

    Thank you Professor V! You're a life saver!! ❤️

  • @juniorcyans2988
    @juniorcyans2988 2 ปีที่แล้ว

    The best I’ve found! Love you!

    • @mathwithprofessorv
      @mathwithprofessorv  2 ปีที่แล้ว

      Thank you so much! ☺️☺️ Love you too! 💕

  • @Ec-tz1ej
    @Ec-tz1ej 3 ปีที่แล้ว

    Excellent video 😌⭐

  • @valeriereid2337
    @valeriereid2337 3 ปีที่แล้ว

    Awesome thanks so much!

  • @huan320
    @huan320 2 ปีที่แล้ว

    Omg…… again, clear explanation and accurate English sub! Thank you ❤️

  • @tylersehon120
    @tylersehon120 3 ปีที่แล้ว

    Thank you!

  • @hlulanichavalala6737
    @hlulanichavalala6737 3 ปีที่แล้ว

    You are so much better than my lecturer..Thank you prof

  • @cassied9327
    @cassied9327 4 ปีที่แล้ว

    Great video, very helpful!

  • @yasmeengatte4548
    @yasmeengatte4548 ปีที่แล้ว

    this video was so helpful thank you so much!

  • @genologic210
    @genologic210 2 ปีที่แล้ว

    thank you

  • @valeriereid2337
    @valeriereid2337 3 ปีที่แล้ว

    Just wondering if you have any videos on linear algebra, vector spaces, vector geometry etc

  • @EscVeloc1ty
    @EscVeloc1ty 2 ปีที่แล้ว

    Thank you so much

  • @Ec-tz1ej
    @Ec-tz1ej 3 ปีที่แล้ว +1

    For Example 3, why don't you add 1 +3 in the numerator (toward the end of the solution)?

    • @gacheri_aina
      @gacheri_aina 3 ปีที่แล้ว +1

      because...so that you can find the limit of the function...you divide each term by n such that you function will be ...(n(1/n+3))/n .So you cancel out the n then you remain with 1/n+3 and since the limit as n approaches infinity is zero...your limit 3...therefore cube root 2 which gives you 8

  • @abby7225
    @abby7225 9 หลายเดือนก่อน

    just failed my first online calc 2 test and this gave me some hope because i actually understood it!

    • @mathwithprofessorv
      @mathwithprofessorv  9 หลายเดือนก่อน

      Oh no, I don't love that you failed but I love that you understood my video! Hopefully next exam will go better!

  • @Capt007
    @Capt007 8 หลายเดือนก่อน

    Are there any compiled practice questions we can try after watching your videos. Especially on calculus 2

    • @mathwithprofessorv
      @mathwithprofessorv  8 หลายเดือนก่อน

      On my Patreon, yes I have practice exams and worksheets!

  • @bendypencil2519
    @bendypencil2519 หลายเดือนก่อน

    I'm sitting here wondering why I'm bothering with paying attention to my calc lecture when I end up needing to come here and watch your videos to teach it to myself

    • @mathwithprofessorv
      @mathwithprofessorv  หลายเดือนก่อน +1

      Oof, that’s rough-I’ve definitely had to teach myself the material in many math classes. But you can do it!

  • @joshfriedman9775
    @joshfriedman9775 หลายเดือนก่อน

    for the {1,5,1,5} sequence couldn't you also use the function--> 3-(-1)^(n-1).2, also how is the 2^1+3 not 16?

  • @DaRealSiri
    @DaRealSiri 2 ปีที่แล้ว

    thank yewww so much!!

    • @mathwithprofessorv
      @mathwithprofessorv  2 ปีที่แล้ว

      Yewwwww are so welcome! ☺️ I just uploaded a new video on sequences: th-cam.com/video/7MR1Imbx78k/w-d-xo.html
      Enjoy!

  • @HappyKitya
    @HappyKitya หลายเดือนก่อน

    18:35

  • @vitasjasiukonis8631
    @vitasjasiukonis8631 2 ปีที่แล้ว

    Do you use Starart’s calculus 8th Ed ?
    Thank you for the material

  • @shaheenkabir3873
    @shaheenkabir3873 8 หลายเดือนก่อน

    Isn't it right that you can't perform the L'hospital rule in sequence since n is defined only as a Natural number? You need to define it in the function of x which is a subset of the Real number.

  • @maqboolahmad6428
    @maqboolahmad6428 11 หลายเดือนก่อน

    Hello ... I need calculus 2 of jamessteward 9th edition

    • @mathwithprofessorv
      @mathwithprofessorv  11 หลายเดือนก่อน

      Then you have come to the right place! Calculus 2 video lectures playlist is for you!
      Calculus 2 Video Lectures
      th-cam.com/play/PLl-Np5U6u5E4z9zWlaf4Redf1iOwU720M.html

  • @dwadedwade2301
    @dwadedwade2301 ปีที่แล้ว +1

    I hear a rocket launching in the professor's room😂. Though good lesson still

    • @mathwithprofessorv
      @mathwithprofessorv  ปีที่แล้ว

      Bahahahaha 🤣🤣🤣🤣 It’s one of my oldest videos and that’s the washing machine doing its thing in the other room!!! I know better now! 🫣

    • @dwadedwade2301
      @dwadedwade2301 ปีที่แล้ว

      @@mathwithprofessorv 🤣🤣

  • @ghostaccountlmao
    @ghostaccountlmao 2 ปีที่แล้ว

    So deep into my degree work and I'm just now discovering this lady. smh. what a stellar teacher.

    • @mathwithprofessorv
      @mathwithprofessorv  2 ปีที่แล้ว +1

      Thank you so much, and happy you were finally able to find my channel somehow! ☺️🙌🏻 Wishing you all the best with your degree and education!

  • @RosaPigott-y5w
    @RosaPigott-y5w 3 หลายเดือนก่อน

    Rowe Port