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Homework Help: Sequence question.

  1. Feb 20, 2012 #1
    1. The problem statement, all variables and given/known data
    Does [itex] nsin(2\pi en!) [/itex]
    converge and if so what does it converge to.
    this is a sequence and n is a positive integer.
    3. The attempt at a solution
    My teacher gave us a hint and to write e in a Taylor series.
    [itex] nsin(2\pi (1+1+\frac{1}{2!}+\frac{1}{3!}.....)n!) [/itex]
    so we could multiply the n! through to the e stuff. And then look for a pattern their to see what it converges to.
  2. jcsd
  3. Feb 20, 2012 #2


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    Well, what are your thoughts? I see a bunch of stuff that is a multiple of 2pi in the sin function. But I also see a bunch of stuff that's not.
    Last edited: Feb 21, 2012
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