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Root Test

  1. Apr 6, 2010 #1
    Using the root test find whether the series converges or diverges:

    Lim Sin (4/(3n+3)) / Sin (4/(3n))
    n-> inf.

    I have no idea how to cancel out the sin terms
  2. jcsd
  3. Apr 6, 2010 #2
    It looks like you may need to use L'Hospital's Rule since you have 0/0. Do you know if the answer is 1?
  4. Apr 6, 2010 #3


    Staff: Mentor

    Why would you want to use the root test? It looks like you're using the ratio test. As Dustinfls suggests, this one looks ripe for L'Hopital's Rule.
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