L'Hopital's rule
noun
                                                                                                                            
                                                            L'Ho·pi·tal's rule
                    
                                                                                                              
                                                                                                                                  ˌlō-pē-ˈtälz- 
                                                      
                                                          
            
            variants  
 or L'Hospital's rule
        
    
                                
              
          
                                                      : a theorem in calculus: if at a given point two functions have an infinite limit or zero as a limit and are both differentiable in a neighborhood of this point then the limit of the quotient of the functions is equal to the limit of the quotient of their derivatives provided that this limit exists                                      
                
                    
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  Merriam-Webster unabridged




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