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Help with Limit Question

  1. Apr 3, 2014 #1
    1. The problem statement, all variables and given/known data

    Lim (3^x+4^x)/(7^x) x -> ∞

    2. Relevant equations



    3. The attempt at a solution

    I broke the limit up into two parts:

    Lim (3^x)/(7^x) x -> ∞ + Lim (4^x)/(7^x) x -> ∞

    However, I don't know where to go from here.
     
  2. jcsd
  3. Apr 3, 2014 #2

    Curious3141

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    Homework Helper

    Note that ##\frac{3^x}{7^x} = (\frac{3}{7})^x##.

    What's the limit of ##a^x## where ##0 < a < 1## as x goes to infinity?
     
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