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Homework Help: Limit Problem

  1. Apr 7, 2008 #1
    1. The problem statement, all variables and given/known data

    Find [tex]\lim_{x-> \inf} \frac{(8-x)^{200}}{8^{x+2}}*\frac{8^x}{(3-x^2)^{100}}[/tex]

    2. Relevant equations

    3. The attempt at a solution
    Simplified to:

    [tex]\lim_{x-> \inf} \frac{(8-x)^{200}}{64(3-x^2)^{100}}[/tex]

    Indeterminant form, so I suppose L'hopital's, but it doesn't seem very efficient?
  2. jcsd
  3. Apr 8, 2008 #2
    Write the first two or 3 highest order terms of the expansions of the numerator and denominator. You'd agree that all lower order terms become increasingly insigificant as x becomes large, right?
    Last edited: Apr 8, 2008
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