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Majorizing a series?

  1. Oct 30, 2009 #1
    1. The problem statement, all variables and given/known data

    Find a geometric series that majorizes the series


    [tex]^{\infty}_{5}\Sigma\frac{n^{2}}{n!}[/tex]

    2. Relevant equations

    3. The attempt at a solution

    Can someone explain to me what this questions actually means and how I would go about doing it?
     
  2. jcsd
  3. Oct 30, 2009 #2

    HallsofIvy

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    Staff Emeritus
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    I think that "majorize" means "find a series such that every term is larger than the corresponding term in the given series". In other words, if you are given series [itex]\sum a_n[/itex] you want to find a series, [itex]\sum b_n[/itex], such that [itex]a_n\le b_n[/itex]. And, of course, here you want [math]b_n= br^n[/math] so it is a geometic series.
     
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