Wetzel

Math 140

1.5 – Infinite Limits

 

Infinite Limits

 

            def. -    a limit where f(x) increases or decreases without bound.  (unbounded)

 

           

            Ex:

                a.  Find  =

 

                       

 

 

 

           

 

                

 

 

                 b.  Graph f(x).

 

                                                        

 

 

                c.  Find  =               

 

 

                              =   

 

 

 

 

 

Vertical Asymptotes

 

            Review – Vertical asymptotes are at the non-removable discontinuities of a rational function.

 

 

            New – When  is equal to  or , there is a vertical asymptote at c.

 

 

 

            Ex:  Find the vertical asymptotes (if any).

            1.) 

 

 

 

 

 

            2.) 

 

 

 

 

 

 

            Find the limits.

            3.)                                                  4.) 

 

 

 

 

 

 

 

 

 

 

 

 

HW:  p.88 #9-15odd, 21, 33-39odd, 43