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Sequence Convergence

  1. Mar 21, 2013 #1
    1. The problem statement, all variables and given/known data
    Converge or diverge?


    2. Relevant equations
    [itex]\displaystyle a_{n} = \frac{(-1)^{n+1}}{2n-1}[/itex]


    3. The attempt at a solution
    all i know is to perhaps take ln of numerator and denominator to get the exponent down below?
     
  2. jcsd
  3. Mar 21, 2013 #2

    SammyS

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    Do you know the squeeze theorem ?
     
  4. Mar 21, 2013 #3
    I do.
     
  5. Mar 21, 2013 #4

    Zondrina

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    It appears the sequence is conditionally convergent.

    1. What is ##\sum |a_n| = \space ?##

    2. Is ##a_n > a_{n+1}##? For sufficiently large n.

    3. lim n→∞ .... = ....
     
  6. Mar 21, 2013 #5

    LCKurtz

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    Are you asking about a sequence or a series? You should fill in part one of the homework template more completely.
     
    Last edited: Mar 21, 2013
  7. Mar 21, 2013 #6
    sequence.
     
  8. Mar 21, 2013 #7

    LCKurtz

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    So show us what you have done so far in thinking about whether that sequence has a limit.
     
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