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Calculus 2, Series Convergence Questions?

  1. Apr 12, 2012 #1
    I have some problems here with Series and Convergence...

    Here are the problems and my guesses at it.

    http://img822.imageshack.us/img822/9523/23341530.png [Broken]

    It won't tell me which one is wrong, but it just says one/all is wrong. Any help is appreciated.

    Attempts at solving, I tried using ratio test for these but I can't seem to get it. I need more comprehension of these types of problems I know, but these problems are due by tonight.
    Alternating series really give me trouble too.
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Apr 12, 2012 #2
    OH

    It was because of the third problem

    sin(3n)/n^2

    Is it because

    sin(3n) / (n^2) ≤ 1/(n^2)

    Therefore the p test makes it absolutely convergent?

    I had the other 4 right, I figured that one was A though, is this the reason?
     
  4. Apr 12, 2012 #3

    SammyS

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    Hello MMhawk607. Welcome to PF !

    Yes, you had #3 wrong .

    It is absolutely convergent.
     
  5. Apr 12, 2012 #4

    SammyS

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    ...........                         .
     
    Last edited by a moderator: May 5, 2017
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