Alternating Series Test, Calculus 2

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  • Опубликовано: 14 дек 2024

Комментарии • 11

  • @02_aldebaranrahmanadhitya95
    @02_aldebaranrahmanadhitya95 7 месяцев назад +6

    Timestanps
    Question 1: 0:01
    Question 2: 3:47
    Question 3: 6:22
    Question 4: 10:40

  • @ahmedaltunkaya3108
    @ahmedaltunkaya3108 7 месяцев назад

    Thank you!

  • @ThePowerfulOne07
    @ThePowerfulOne07 7 месяцев назад

    Thank you for videos lately. Sequences and series were a struggle for me. Idk why 😅😅😅. The memories!

  • @robertchai2338
    @robertchai2338 7 месяцев назад +1

    For q2, can we say that it diverges since limit of b_n = (n + 1)/(3n + 2) as n approaches infinity ≠ 0 by Alternating Series Test?

    • @cristobalmoragac5574
      @cristobalmoragac5574 5 месяцев назад

      No, this renders the use of the AST ineffective because often criterion number 1 is not met. In that case, you will need to resort to other convergence or divergence tests (like the "divergence test" that bprp used for q2).
      Greetings from Chile!

  • @Simeulf
    @Simeulf Месяц назад

    Wouldn't the harmonic series pass both those tests and be deemed to be convergent? Is it a requirment that the terms are alternating? Probably, but how come, is it by definition? Something I am not getting here. Happy to get an explanation :)

  • @Jedwint
    @Jedwint 7 месяцев назад +8

    🔥these vids are gonna make me an academic weapon

  • @anuragguptamr.i.i.t.2329
    @anuragguptamr.i.i.t.2329 7 месяцев назад

    Sir, why did you not solve the question 2 by AST?

  • @sabbirrahaman1430
    @sabbirrahaman1430 7 месяцев назад

    sir, i have a calculus problem, can you please help me to solve this question? And How do I send the question to you?

  • @YoungPhysicistsClub1729
    @YoungPhysicistsClub1729 7 месяцев назад

    cant we say that question no 2 diverges since it fails AST as lim as n -> infinity is 1/3 which is not 0?