True-False Quiz Question 7: When the Ratio Test is Inconclusive


  • 229
  • 0
  • 1.659
  • Reply

  • Open in the desktop app ADD TO PLAYLIST


    Published on Jan 08, 2024
    About :

    In this video I show that the Ratio Test can not be used to determine if the series with terms 1/n^3 converges or diverges. The ratio test states that if the limit as n approaches infinity of the absolute value of the ratio a_n+1 term / a_n is equal less than 1, it is convergent. If it is greater than 1 it is divergent. But if it is equal to 1 then it is inconclusive and no conclusion can be drawn about the convergence or divergence of the series. Applying the ratio test for our given series we get the limit approaching 1, which is inconclusive. Hence, the solution to our question is False and the ratio test can not be used to determine if our series converges or diverges.

    Time stamps:

    • Question 7: 0:00
    • Solution: False: 0:15
    • Applying the Ratio Test: 1:04
    • Ratio Test = 1 = Inconclusive: 5:14

    Full video below:

    Related Videos:

    Infinite Sequences and Series playlist: .

    Become a MES Super Fan!

    DONATE! ʕ •ᴥ•ʔ


    MES Links:

    MES Truth:
    Official Website:

    Email me:

    Free Calculators:

    BMI Calculator:
    Grade Calculator:
    Mortgage Calculator:
    Percentage Calculator:

    Free Online Tools:

    iPhone and Android Apps:

    Tags :

    math science calculus stemgeeks stemsocial palnet proofofbrain chessbrothers stem mathematics education

    Woo! This creator can upvote comments using 3speak's stake today because they are a top performing creator! Leave a quality comment relating to their content and you could receive an upvote worth at least a dollar.

    Their limit for today is $0!
    Time until mes can give away $0 to their commenters.
    0 Days 0 Hours 0 Minutes 0 Seconds

    To comment on this video please connect a HIVE account to your profile: Connect HIVE Account

    More Videos

    2 views 2 years ago $
    0 views 3 years ago $
    42 views a year ago $
    1 views 2 years ago $
    23 views 2 years ago $