Limit Problem

  • Thread starter Feldoh
  • Start date
  • #1
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Homework Statement



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

Homework Equations





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?
 

Answers and Replies

  • #2
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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:

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