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How are these two equations the same?

  1. Apr 15, 2012 #1
    [tex]\lim_{n\to\infty}\frac{8^{n-1}}{9^{n}}[/tex]

    and

    [tex]\frac{1}{9}\lim_{n\to\infty}(\frac{8}{9})^{n}[/tex]

    In particular, why is there a 1/9 beside the limit instead of a 1/8 in the second equation?
     
    Last edited: Apr 15, 2012
  2. jcsd
  3. Apr 15, 2012 #2
    These are not equations, FYI, they are limits, and as limits they are the same.
     
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