This is a list of limits for common functions. Note that a and b are constants with respect to x. Algebra of limits

Contents

Limits for general functionsEdit

 
 
 
 
 
 
  (L'Hôpital's rule)

Limits of general functionsEdit

 
 
 

Notable special limitsEdit

 
 
 
 
 
 
 
 

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Simple functionsEdit

 
 
 
 
 
 

Logarithmic and exponential functionsEdit

 
 
 

or

 
 
 
 
 
 
 
  L'Hôpital's rule

Trigonometric functionsEdit

 
 

If   is expressed in radians:

 
 
 
 
 
 
 

Near infinitiesEdit