LIMITS INVOLVING INFINITY

Horizontal Asymptotes

If          or        
   


Then y = L is a horizontal asymptote for f(x).

Keep in mind that  

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Problems

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Properties of Infinite Limits

If c and L are real numbers and f and g are functions such that

 and  lim         then



 , L > 0
 
  , L < 0





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• Examples
  

None of the properties apply because L is 0.
 

Again, none of the properties apply because L is 0.

Infinite Limits as 

Graph

What is the limit as ?


 

         Graph

What is the limit as ?
 

• Graph
  
           

What is the limit as ?

Problems