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Functions with Two Horizontal Asymptotes

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Functions with Two Horizontal Asymptotes Rational Functions always have the same limit as x approaches infinity as when x approaches negative infinity. … but what if the function isn’t rational?
To evaluate these limits, the technique is the same as before: we divide the numerator and denominator by x .
 
 
Find any Horizontal Asymptotes:
 
 
 
 

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Functions with Two Horizontal Asymptotes

  • 1. Functions with Two Horizontal Asymptotes Rational Functions always have the same limit as x approaches infinity as when x approaches negative infinity. … but what if the function isn’t rational?
  • 2. To evaluate these limits, the technique is the same as before: we divide the numerator and denominator by x .
  • 3.  
  • 4.  
  • 5. Find any Horizontal Asymptotes:
  • 6.  
  • 7.  
  • 8.  
  • 9.