Wetzel

Math 140

3.5 – Limits at Infinity

 

Review of Algebra –

           

            Vertical Asymptotes –

 

 

           

            Horizontal Asymptotes –

 

 

 

            Oblique Asymptotes -  (Slant Asymptotes)

 

 

Limits at Infinity

 

            Limits as x approaches  or .

 

 

                                 or        

 

            To Solve:

 

                              or        

 

Ex.: 

1.)                                               2.) 

 

 

 

 

 

 

 

 

 

 

 

 

 

3.)                                           4.) 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Horizontal Asymptotes – 

 

            The line  is a horizontal asymptote of the graph of  if

 

                           or     

 

 

 

 

 

HW:  p.205 #3-8all, 17-31odd