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Limits of a sequence

  1. Sep 29, 2010 #1
    Hello all, indeed this is always a question in my mind.

    For a sequence, we can study the limit, let's say [tex] \lim_{n\rightarrow\infty} x_{n} = c[/tex] where [tex] c [/tex] can be [tex] \infty[/tex].

    So whenever we talk about this kind of limit, we are generally interested in a sequence which would not attain [tex] c [/tex] at a finite value of [tex] n [/tex]. In other words, the sequence in the form of [tex] x_{n} = c [/tex] where [tex] n \geq N [/tex] for some finite [tex] N [/tex] is of no interest because the limit is trivial?


  2. jcsd
  3. Sep 29, 2010 #2


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    If it becomes constant, then it's a pretty boring sequence, but unless you have some reason to believe so you shouldn't assume that the sequence can't be of that form. Do you have a specific context from which this question is coming?
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