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Limits of Sequences

  1. Sep 27, 2012 #1
    1. The problem statement, all variables and given/known data
    [itex]\stackrel{lim}{n\rightarrow \infty} (-1)^n \frac{n}{n + 1}[/itex]


    2. Relevant equations



    3. The attempt at a solution
    The answer is that the limit oscillates between -1 and 1, but I was wondering if there was an analytic was of showing this.
     
  2. jcsd
  3. Sep 27, 2012 #2

    LCKurtz

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    Well, you know the sign alternates. What happens if you divide the numerator and denominator of your fraction by n? What happens then as ##n\to\infty##?
     
  4. Sep 27, 2012 #3
    Ah, yes, I see. Thank you.
     
  5. Sep 27, 2012 #4

    micromass

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    Writing limits in LaTeX looks better with the following code:

    Code (Text):

    \lim_{n\rightarrow \infty}
     
    There is no need for stackrel and such.
     
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