Which series convergence test do I use? (TFD, P-Series, Telescoping, DCT, LCT, AST, Ratio, & more)

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  • Опубликовано: 23 дек 2024

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  • @02_aldebaranrahmanadhitya95
    @02_aldebaranrahmanadhitya95 8 месяцев назад +20

    Timestamps
    Question 1: 0:24
    Question 2: 1:37
    Question 3: 2:50
    Question 4: 4:00
    Question 5: 4:38
    Question 6: 5:00
    Question 7: 6:16
    Question 8: 7:00
    Question 9: 8:29
    Question 10: 9:17
    Question 11: 10:21
    Question 12: 11:49
    Question 13: 13:15
    Question 14: 14:36
    Question 15: 16:03
    Question 16: 18:09

  • @dhruvtiwari661
    @dhruvtiwari661 8 месяцев назад +20

    I had this doubt on which series test to use at morning and your video came just in time :)

  • @rogerstachiw9829
    @rogerstachiw9829 20 дней назад +3

    Thanks dude, im a petroleum engineering student from Brazil and your videos help a lot! thank you very much sir. bprp calculus basics

  • @TheMasterGreen
    @TheMasterGreen 8 месяцев назад +4

    Correct me if I am wrong but doesn't the first part (lim as n->inf of bn = 0) already guarantee the second part? at 8:05

    • @bprpcalculusbasics
      @bprpcalculusbasics  8 месяцев назад +2

      You can have something like (1+(-1)^n)/n which approaches 0 but not decreasing. It goes up and down to 0.

    • @TheMasterGreen
      @TheMasterGreen 7 месяцев назад +2

      @@bprpcalculusbasics I don’t think this alternates

    • @bprpcalculusbasics
      @bprpcalculusbasics  7 месяцев назад +1

      @@TheMasterGreen that was for the bn part. So consider the series of (-1)^n*(1+(-1)^n)/n

  • @jkgaming0565
    @jkgaming0565 16 дней назад +1

    You have to do this in calc 2? I did it at the beginning of calc 3

  • @adamwetzli3341
    @adamwetzli3341 3 месяца назад +3

    Thank you Thank you Thank you

  • @giohardy9879
    @giohardy9879 5 дней назад

    I think using "bn = 1/sqrt(n)" in #2 is not a proper test because bn is less than an. Therefore, integral test probably will be most efficient. That said, thank you very much for the videos!

  • @beefiestsurprise269
    @beefiestsurprise269 18 дней назад +1

    I wish my exams had questions this easy

  • @hmm8464
    @hmm8464 Месяц назад

    Thank you this was helpful

  • @akuntumbal1485
    @akuntumbal1485 8 месяцев назад +4

    Number 15 you can use The Fact, right?

    • @bprpcalculusbasics
      @bprpcalculusbasics  8 месяцев назад +1

      Correct!

    • @vinuthomas7193
      @vinuthomas7193 7 месяцев назад +1

      I couldn't figure out 15 - What's The Fact?

    • @akuntumbal1485
      @akuntumbal1485 7 месяцев назад

      @@vinuthomas7193 (1 + a/n)^bn = e^ab

    • @MarkPaul1316
      @MarkPaul1316 7 месяцев назад

      @@vinuthomas7193 Ele está se referindo à variação do limite fundamental cujo resultado dá o número de Euler.

    • @giohardy9879
      @giohardy9879 5 дней назад

      can you please elaborate what do you mean by The Fact?

  • @shadidzarrafrahman9248
    @shadidzarrafrahman9248 29 дней назад

    can we use divergence test on the first question? since lim (n -> \inf) (n^2 + 1)/ (n^3 + 4)
    otequal 0, the series diverges?

    • @manbican370
      @manbican370 29 дней назад

      I dont think so, the lim = lim of (1/n+1/n^3)/(1+4/n^3) which equals to 0

    • @shadidzarrafrahman9248
      @shadidzarrafrahman9248 29 дней назад

      @@manbican370 yes,i realised. By using l'hopital the term converges to 0. Thanks

  • @jackychan4640
    @jackychan4640 7 месяцев назад +2

    Hey, I have not seen you for a while. I can't pay for the tuition fees about it. I hope you can help me about this question. Question: Give 3 part formula for the area f(t) under v(t)

  • @rootroot-pi
    @rootroot-pi 8 месяцев назад +3

    what tests should I do on trig infinite series

    • @rootroot-pi
      @rootroot-pi 8 месяцев назад

      like series n = 1 to ∞ (cos ^ (n-1) x

    • @xinpingdonohoe3978
      @xinpingdonohoe3978 8 месяцев назад +1

      If x does not make cos(x)=±1, then the sum of cos^(n-1)(x) is geometric.

  • @Sahilfoujdar710
    @Sahilfoujdar710 Месяц назад

    Where are you from ?

  • @Enzo-mi8dq
    @Enzo-mi8dq Месяц назад +7

    on your test do not add a sad face 😂😂😂